402726981888 has 1440 divisors, whose sum is σ = 1632148455168. Its totient is φ = 95551488000.

The previous prime is 402726981887. The next prime is 402726981889. The reversal of 402726981888 is 888189627204.

402726981888 is a `hidden beast` number, since 402 + 72 + 6 + 9 + 81 + 8 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (402726981887) and next prime (402726981889).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (402726981887) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1004306488 + ... + 1004306888.

Almost surely, 2^402726981888 is an apocalyptic number.

402726981888 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 402726981888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816074227584).

402726981888 is an abundant number, since it is smaller than the sum of its proper divisors (1229421473280).

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

402726981888 is a wasteful number, since it uses less digits than its factorization.

402726981888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 63.

The spelling of 402726981888 in words is "four hundred two billion, seven hundred twenty-six million, nine hundred eighty-one thousand, eight hundred eighty-eight".