420433154025444 has 288 divisors, whose sum is σ = 1250397988519680. Its totient is φ = 116631695232000.

The previous prime is 420433154025421. The next prime is 420433154025461. The reversal of 420433154025444 is 444520451334024.

420433154025444 is a `hidden beast` number, since 4 + 2 + 0 + 4 + 3 + 315 + 40 + 254 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 420433154025444.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1180478994 + ... + 1180835094.

It is an arithmetic number, because the mean of its divisors is an integer number (4341659682360).

Almost surely, 2^{420433154025444} 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 420433154025444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625198994259840).

420433154025444 is an abundant number, since it is smaller than the sum of its proper divisors (829964834494236).

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

420433154025444 is a wasteful number, since it uses less digits than its factorization.

420433154025444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357091 (or 357086 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 45.

The spelling of 420433154025444 in words is "four hundred twenty trillion, four hundred thirty-three billion, one hundred fifty-four million, twenty-five thousand, four hundred forty-four".