420458524945920 has 640 divisors, whose sum is σ = 1511690612572800. Its totient is φ = 110759271727104.

The previous prime is 420458524945903. The next prime is 420458524945981. The reversal of 420458524945920 is 29549425854024.

420458524945920 is a `hidden beast` number, since 4 + 2 + 0 + 4 + 5 + 8 + 52 + 494 + 5 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6723754974 + ... + 6723817506.

It is an arithmetic number, because the mean of its divisors is an integer number (2362016582145).

Almost surely, 2^{420458524945920} is an apocalyptic number.

420458524945920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420458524945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755845306286400).

420458524945920 is an abundant number, since it is smaller than the sum of its proper divisors (1091232087626880).

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

420458524945920 is a wasteful number, since it uses less digits than its factorization.

420458524945920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63747 (or 63725 counting only the distinct ones).

The product of its (nonzero) digits is 165888000, while the sum is 63.

The spelling of 420458524945920 in words is "four hundred twenty trillion, four hundred fifty-eight billion, five hundred twenty-four million, nine hundred forty-five thousand, nine hundred twenty".