4762439040 has 128 divisors (see below), whose sum is σ = 15300587520. Its totient is φ = 1259919360.

The previous prime is 4762439021. The next prime is 4762439047. The reversal of 4762439040 is 409342674.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×4762439040² = 45361651219432243200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4762439040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4762439047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234075 + ... + 253605.

It is an arithmetic number, because the mean of its divisors is an integer number (119535840).

Almost surely, 2^4762439040 is an apocalyptic number.

4762439040 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 4762439040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7650293760).

4762439040 is an abundant number, since it is smaller than the sum of its proper divisors (10538148480).

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

4762439040 is a wasteful number, since it uses less digits than its factorization.

4762439040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19680 (or 19668 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 4762439040 is about 69010.4270382382. The cubic root of 4762439040 is about 1682.4537839080.

The spelling of 4762439040 in words is "four billion, seven hundred sixty-two million, four hundred thirty-nine thousand, forty".