421852807440 has 120 divisors (see below), whose sum is σ = 1417143326040. Its totient is φ = 112460654592.

The previous prime is 421852807331. The next prime is 421852807477. The reversal of 421852807440 is 44708258124.

421852807440 is a `hidden beast` number, since 4 + 2 + 18 + 528 + 0 + 74 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 136081307664 + 285771499776 = 368892^2 + 534576^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×421852807440² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2386426 + ... + 2557094.

It is an arithmetic number, because the mean of its divisors is an integer number (11809527717).

Almost surely, 2^421852807440 is an apocalyptic number.

421852807440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

421852807440 is an abundant number, since it is smaller than the sum of its proper divisors (995290518600).

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

421852807440 is a wasteful number, since it uses less digits than its factorization.

421852807440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174121 (or 174112 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 421852807440 in words is "four hundred twenty-one billion, eight hundred fifty-two million, eight hundred seven thousand, four hundred forty".