402034973568 has 128 divisors (see below), whose sum is σ = 1072297440000. Its totient is φ = 133461737472.

The previous prime is 402034973537. The next prime is 402034973597. The reversal of 402034973568 is 865379430204.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 402034973568.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106723621 + ... + 106727387.

It is an arithmetic number, because the mean of its divisors is an integer number (8377323750).

Almost surely, 2^402034973568 is an apocalyptic number.

402034973568 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 402034973568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536148720000).

402034973568 is an abundant number, since it is smaller than the sum of its proper divisors (670262466432).

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

402034973568 is a wasteful number, since it uses less digits than its factorization.

402034973568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4852 (or 4840 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 402034973568 in words is "four hundred two billion, thirty-four million, nine hundred seventy-three thousand, five hundred sixty-eight".