402533950464 has 440 divisors, whose sum is σ = 1255475865600. Its totient is φ = 128317685760.

The previous prime is 402533950463. The next prime is 402533950519. The reversal of 402533950464 is 464059335204.

402533950464 is a `hidden beast` number, since 4 + 0 + 2 + 53 + 39 + 504 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (402533950463) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 228841617 + ... + 228843375.

It is an arithmetic number, because the mean of its divisors is an integer number (2853354240).

Almost surely, 2^402533950464 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 402533950464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627737932800).

402533950464 is an abundant number, since it is smaller than the sum of its proper divisors (852941915136).

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

402533950464 is a wasteful number, since it uses less digits than its factorization.

402533950464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1911 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 402533950464 in words is "four hundred two billion, five hundred thirty-three million, nine hundred fifty thousand, four hundred sixty-four".