421250858715456 has 1120 divisors, whose sum is σ = 1576296780791040. Its totient is φ = 108051812352000.

The previous prime is 421250858715373. The next prime is 421250858715461. The reversal of 421250858715456 is 654517858052124.

421250858715456 is a `hidden beast` number, since 4 + 2 + 1 + 2 + 5 + 0 + 8 + 5 + 87 + 1 + 545 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 421250858715393 and 421250858715402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 30303630106 + ... + 30303644006.

It is an arithmetic number, because the mean of its divisors is an integer number (1407407839992).

Almost surely, 2^{421250858715456} 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 421250858715456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788148390395520).

421250858715456 is an abundant number, since it is smaller than the sum of its proper divisors (1155045922075584).

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

421250858715456 is a wasteful number, since it uses less digits than its factorization.

421250858715456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14885 (or 14866 counting only the distinct ones).

The product of its (nonzero) digits is 107520000, while the sum is 63.

The spelling of 421250858715456 in words is "four hundred twenty-one trillion, two hundred fifty billion, eight hundred fifty-eight million, seven hundred fifteen thousand, four hundred fifty-six".