420577955881776 has 2160 divisors, whose sum is σ = 1575846083395584. Its totient is φ = 104211588096000.

The previous prime is 420577955881753. The next prime is 420577955881813. The reversal of 420577955881776 is 677188559775024.

420577955881776 is a `hidden beast` number, since 4 + 2 + 0 + 57 + 7 + 9 + 558 + 8 + 1 + 7 + 7 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 420577955881695 and 420577955881704.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 709237699336 + ... + 709237699928.

Almost surely, 2^{420577955881776} 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 420577955881776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787923041697792).

420577955881776 is an abundant number, since it is smaller than the sum of its proper divisors (1155268127513808).

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

420577955881776 is a wasteful number, since it uses less digits than its factorization.

420577955881776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 8297856000, while the sum is 81.

The spelling of 420577955881776 in words is "four hundred twenty trillion, five hundred seventy-seven billion, nine hundred fifty-five million, eight hundred eighty-one thousand, seven hundred seventy-six".