420257037984 has 192 divisors, whose sum is σ = 1290889442304. Its totient is φ = 117208498176.

The previous prime is 420257037947. The next prime is 420257038007. The reversal of 420257037984 is 489730752024.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61053807 + ... + 61060689.

It is an arithmetic number, because the mean of its divisors is an integer number (6723382512).

Almost surely, 2^420257037984 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 420257037984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645444721152).

420257037984 is an abundant number, since it is smaller than the sum of its proper divisors (870632404320).

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

420257037984 is a wasteful number, since it uses less digits than its factorization.

420257037984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9059 (or 9051 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The spelling of 420257037984 in words is "four hundred twenty billion, two hundred fifty-seven million, thirty-seven thousand, nine hundred eighty-four".