402409525453824 has 352 divisors, whose sum is σ = 1316640356608000. Its totient is φ = 108922873651200.

The previous prime is 402409525453807. The next prime is 402409525453829. The reversal of 402409525453824 is 428354525904204.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (402409525453829) 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, 9970149 + ... + 30070299.

Almost surely, 2^{402409525453824} 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 402409525453824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658320178304000).

402409525453824 is an abundant number, since it is smaller than the sum of its proper divisors (914230831154176).

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

402409525453824 is a wasteful number, since it uses less digits than its factorization.

402409525453824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20100214 (or 20100182 counting only the distinct ones).

The product of its (nonzero) digits is 55296000, while the sum is 57.

The spelling of 402409525453824 in words is "four hundred two trillion, four hundred nine billion, five hundred twenty-five million, four hundred fifty-three thousand, eight hundred twenty-four".