4056729600 has 720 divisors, whose sum is σ = 17067501360. Its totient is φ = 842956800.

The previous prime is 4056729587. The next prime is 4056729613. The reversal of 4056729600 is 69276504.

It is an interprime number because it is at equal distance from previous prime (4056729587) and next prime (4056729613).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 368793595 + ... + 368793605.

It is an arithmetic number, because the mean of its divisors is an integer number (23704863).

Almost surely, 2^4056729600 is an apocalyptic number.

4056729600 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 4056729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8533750680).

4056729600 is an abundant number, since it is smaller than the sum of its proper divisors (13010771760).

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

4056729600 is an equidigital number, since it uses as much as digits as its factorization.

4056729600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 4056729600 is about 63692.4610923459. The cubic root of 4056729600 is about 1594.8702377048.

The spelling of 4056729600 in words is "four billion, fifty-six million, seven hundred twenty-nine thousand, six hundred".