420926870640 has 320 divisors, whose sum is σ = 1358193070080. Its totient is φ = 107759493120.

The previous prime is 420926870603. The next prime is 420926870671. The reversal of 420926870640 is 46078629024.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 420926870640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 239298081 + ... + 239299839.

It is an arithmetic number, because the mean of its divisors is an integer number (4244353344).

Almost surely, 2^420926870640 is an apocalyptic number.

420926870640 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 420926870640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679096535040).

420926870640 is an abundant number, since it is smaller than the sum of its proper divisors (937266199440).

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

420926870640 is a wasteful number, since it uses less digits than its factorization.

420926870640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2192 (or 2186 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 420926870640 in words is "four hundred twenty billion, nine hundred twenty-six million, eight hundred seventy thousand, six hundred forty".