402730121908224 has 3744 divisors, whose sum is σ = 1503581122068480. Its totient is φ = 103004504064000.

The previous prime is 402730121908217. The next prime is 402730121908237. The reversal of 402730121908224 is 422809121037204.

402730121908224 is a `hidden beast` number, since 40 + 27 + 301 + 2 + 190 + 82 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 402730121908224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3171103322049 + ... + 3171103322175.

It is an arithmetic number, because the mean of its divisors is an integer number (401597521920).

Almost surely, 2^{402730121908224} is an apocalyptic number.

402730121908224 is a gapful number since it is divisible by the number (44) 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 402730121908224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751790561034240).

402730121908224 is an abundant number, since it is smaller than the sum of its proper divisors (1100851000160256).

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

402730121908224 is a wasteful number, since it uses less digits than its factorization.

402730121908224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 402730121908224 in words is "four hundred two trillion, seven hundred thirty billion, one hundred twenty-one million, nine hundred eight thousand, two hundred twenty-four".