420393957984 has 1536 divisors, whose sum is σ = 1769658347520. Its totient is φ = 94595973120.

The previous prime is 420393957947. The next prime is 420393958009. The reversal of 420393957984 is 489759393024.

420393957984 is a `hidden beast` number, since 4 + 20 + 3 + 9 + 39 + 579 + 8 + 4 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 1190917552 + ... + 1190917904.

It is an arithmetic number, because the mean of its divisors is an integer number (1152121320).

Almost surely, 2^420393957984 is an apocalyptic number.

420393957984 is a gapful number since it is divisible by the number (44) 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 420393957984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884829173760).

420393957984 is an abundant number, since it is smaller than the sum of its proper divisors (1349264389536).

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

420393957984 is a wasteful number, since it uses less digits than its factorization.

420393957984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 420393957984 in words is "four hundred twenty billion, three hundred ninety-three million, nine hundred fifty-seven thousand, nine hundred eighty-four".