403261121162304 has 336 divisors, whose sum is σ = 1277974204341120. Its totient is φ = 120927934955520.

The previous prime is 403261121162257. The next prime is 403261121162353.

403261121162304 is a `hidden beast` number, since 4 + 0 + 3 + 2 + 6 + 1 + 1 + 21 + 1 + 623 + 0 + 4 = 666.

403261121162304 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 321207159 + ... + 322460169.

Almost surely, 2^{403261121162304} 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 403261121162304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638987102170560).

403261121162304 is an abundant number, since it is smaller than the sum of its proper divisors (874713083178816).

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

403261121162304 is a wasteful number, since it uses less digits than its factorization.

403261121162304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254498 (or 1254485 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 403261121162304 in words is "four hundred three trillion, two hundred sixty-one billion, one hundred twenty-one million, one hundred sixty-two thousand, three hundred four".