402964496887424 has 96 divisors (see below), whose sum is σ = 830093196032100. Its totient is φ = 194846289039360.

The previous prime is 402964496887411. The next prime is 402964496887429. The reversal of 402964496887424 is 424788694469204.

It can be written as a sum of positive squares in 2 ways, for example, as 401984856193600 + 979640693824 = 20049560^2 + 989768^2 .

It is not an unprimeable number, because it can be changed into a prime (402964496887429) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 174632204 + ... + 176924660.

Almost surely, 2^{402964496887424} 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 402964496887424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415046598016050).

402964496887424 is an abundant number, since it is smaller than the sum of its proper divisors (427128699144676).

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

402964496887424 is a wasteful number, since it uses less digits than its factorization.

402964496887424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2293962 (or 2293919 counting only the distinct ones).

The product of its (nonzero) digits is 5350883328, while the sum is 77.

The spelling of 402964496887424 in words is "four hundred two trillion, nine hundred sixty-four billion, four hundred ninety-six million, eight hundred eighty-seven thousand, four hundred twenty-four".