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4042260480 = 22035257
BaseRepresentation
bin1111000011110000…
…0000000000000000
3101102201020002221010
43300330000000000
531234304313410
61505035400520
7202112434656
oct36074000000
911381202833
104042260480
111794829145
129498b3140
134c55ca10b
142a4bd4dd6
15189d21c20
hexf0f00000

4042260480 has 168 divisors, whose sum is σ = 12985558992. Its totient is φ = 1073741824.

The previous prime is 4042260457. The next prime is 4042260503. The reversal of 4042260480 is 840622404.

Adding to 4042260480 its reverse (840622404), we get a palindrome (4882882884).

It is an interprime number because it is at equal distance from previous prime (4042260457) and next prime (4042260503).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2 and base 4.

It is a congruent number.

It is an unprimeable number.

In principle, a polygon with 4042260480 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15728512 + ... + 15728768.

It is an arithmetic number, because the mean of its divisors is an integer number (77294994).

Almost surely, 24042260480 is an apocalyptic number.

4042260480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4042260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6492779496).

4042260480 is an abundant number, since it is smaller than the sum of its proper divisors (8943298512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4042260480 is an frugal number, since it uses more digits than its factorization.

4042260480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 4042260480 is about 63578.7738164240. The cubic root of 4042260480 is about 1592.9718399734.

The spelling of 4042260480 in words is "four billion, forty-two million, two hundred sixty thousand, four hundred eighty".