403251004053456 has 160 divisors (see below), whose sum is σ = 1134525503220480. Its totient is φ = 122677124984832.

The previous prime is 403251004053433. The next prime is 403251004053461. The reversal of 403251004053456 is 654350400152304.

It is a super-2 number, since 2×403251004053456² (a number of 30 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 1214017510 + ... + 1214349626.

It is an arithmetic number, because the mean of its divisors is an integer number (7090784395128).

Almost surely, 2^{403251004053456} 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 403251004053456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567262751610240).

403251004053456 is an abundant number, since it is smaller than the sum of its proper divisors (731274499167024).

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

403251004053456 is a wasteful number, since it uses less digits than its factorization.

403251004053456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354093 (or 354087 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 42.

The spelling of 403251004053456 in words is "four hundred three trillion, two hundred fifty-one billion, four million, fifty-three thousand, four hundred fifty-six".