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4040340480 = 210335112657
BaseRepresentation
bin1111000011010010…
…1011010000000000
3101102120121120012000
43300310223100000
531233311343410
61504530304000
7202060220211
oct36064532000
911376546160
104040340480
111793737670
12949128000
134c50a7217
142a4855408
15189a92dc0
hexf0d2b400

4040340480 has 352 divisors, whose sum is σ = 15669866880. Its totient is φ = 979107840.

The previous prime is 4040340439. The next prime is 4040340497. The reversal of 4040340480 is 840430404.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1519312 + ... + 1521968.

Almost surely, 24040340480 is an apocalyptic number.

4040340480 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 4040340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7834933440).

4040340480 is an abundant number, since it is smaller than the sum of its proper divisors (11629526400).

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

4040340480 is a wasteful number, since it uses less digits than its factorization.

4040340480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2702 (or 2678 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4040340480 is about 63563.6726440504. The cubic root of 4040340480 is about 1592.7195891746.

Adding to 4040340480 its reverse (840430404), we get a palindrome (4880770884).

The spelling of 4040340480 in words is "four billion, forty million, three hundred forty thousand, four hundred eighty".