402101388864 has 224 divisors, whose sum is σ = 1394556723200. Its totient is φ = 111180003840.

The previous prime is 402101388859. The next prime is 402101388869. The reversal of 402101388864 is 468883101204.

402101388864 is a `hidden beast` number, since 402 + 101 + 3 + 8 + 88 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (402101388859) and next prime (402101388869).

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (402101388869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161194 + ... + 911145.

Almost surely, 2^402101388864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402101388864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697278361600).

402101388864 is an abundant number, since it is smaller than the sum of its proper divisors (992455334336).

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

402101388864 is a wasteful number, since it uses less digits than its factorization.

402101388864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072398 (or 1072382 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 402101388864 in words is "four hundred two billion, one hundred one million, three hundred eighty-eight thousand, eight hundred sixty-four".