402711409728 has 168 divisors, whose sum is σ = 1159791310080. Its totient is φ = 133600158720.

The previous prime is 402711409693. The next prime is 402711409739. The reversal of 402711409728 is 827904117204.

It is a super-2 number, since 2×402711409728² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116153851 + ... + 116157317.

Almost surely, 2^402711409728 is an apocalyptic number.

402711409728 is a gapful number since it is divisible by the number (48) 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 402711409728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579895655040).

402711409728 is an abundant number, since it is smaller than the sum of its proper divisors (757079900352).

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

402711409728 is a wasteful number, since it uses less digits than its factorization.

402711409728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4385 (or 4372 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 402711409728 in words is "four hundred two billion, seven hundred eleven million, four hundred nine thousand, seven hundred twenty-eight".