420525909525024 has 96 divisors (see below), whose sum is σ = 1229686947216000. Its totient is φ = 139814955240192.

The previous prime is 420525909525023. The next prime is 420525909525031.

It is a happy number.

420525909525024 is a `hidden beast` number, since 4 + 2 + 0 + 5 + 2 + 5 + 90 + 9 + 525 + 0 + 24 = 666.

420525909525024 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (420525909525023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 625267764 + ... + 625939955.

It is an arithmetic number, because the mean of its divisors is an integer number (12809239033500).

Almost surely, 2^{420525909525024} is an apocalyptic number.

It is an amenable number.

420525909525024 is an abundant number, since it is smaller than the sum of its proper divisors (809161037690976).

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

420525909525024 is a wasteful number, since it uses less digits than its factorization.

420525909525024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251208127 (or 1251208113 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 54.

The spelling of 420525909525024 in words is "four hundred twenty trillion, five hundred twenty-five billion, nine hundred nine million, five hundred twenty-five thousand, twenty-four".