402145164288 has 704 divisors, whose sum is σ = 1415829657600. Its totient is φ = 110361968640.

The previous prime is 402145164227. The next prime is 402145164313. The reversal of 402145164288 is 882461541204.

402145164288 is a `hidden beast` number, since 4 + 0 + 2 + 14 + 516 + 42 + 88 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 637313733 + ... + 637314363.

Almost surely, 2^402145164288 is an apocalyptic number.

402145164288 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 402145164288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707914828800).

402145164288 is an abundant number, since it is smaller than the sum of its proper divisors (1013684493312).

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

402145164288 is a wasteful number, since it uses less digits than its factorization.

402145164288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 402145164288 in words is "four hundred two billion, one hundred forty-five million, one hundred sixty-four thousand, two hundred eighty-eight".