420590776320 has 1456 divisors, whose sum is σ = 1786828250592. Its totient is φ = 93640458240.

The previous prime is 420590776313. The next prime is 420590776343. The reversal of 420590776320 is 23677095024.

420590776320 is a `hidden beast` number, since 4 + 2 + 0 + 5 + 9 + 0 + 7 + 7 + 632 + 0 = 666.

It is a super-2 number, since 2×420590776320² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2134978462 + ... + 2134978658.

Almost surely, 2^420590776320 is an apocalyptic number.

420590776320 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 420590776320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893414125296).

420590776320 is an abundant number, since it is smaller than the sum of its proper divisors (1366237474272).

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

420590776320 is a wasteful number, since it uses less digits than its factorization.

420590776320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 420590776320 in words is "four hundred twenty billion, five hundred ninety million, seven hundred seventy-six thousand, three hundred twenty".