402128918352 has 480 divisors, whose sum is σ = 1410625142784. Its totient is φ = 104285491200.

The previous prime is 402128918333. The next prime is 402128918381. The reversal of 402128918352 is 253819821204.

402128918352 is a `hidden beast` number, since 4 + 0 + 2 + 1 + 289 + 18 + 352 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 402128918298 and 402128918307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 175831353 + ... + 175833639.

Almost surely, 2^402128918352 is an apocalyptic number.

402128918352 is a gapful number since it is divisible by the number (42) 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 402128918352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705312571392).

402128918352 is an abundant number, since it is smaller than the sum of its proper divisors (1008496224432).

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

402128918352 is a wasteful number, since it uses less digits than its factorization.

402128918352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2687 (or 2678 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 402128918352 in words is "four hundred two billion, one hundred twenty-eight million, nine hundred eighteen thousand, three hundred fifty-two".