420731055360 has 1296 divisors, whose sum is σ = 1897544358528. Its totient is φ = 87369891840.

The previous prime is 420731055331. The next prime is 420731055377. The reversal of 420731055360 is 63550137024.

420731055360 is a `hidden beast` number, since 4 + 20 + 73 + 10 + 553 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 263450082 + ... + 263451678.

Almost surely, 2^420731055360 is an apocalyptic number.

420731055360 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 420731055360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948772179264).

420731055360 is an abundant number, since it is smaller than the sum of its proper divisors (1476813303168).

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

420731055360 is a wasteful number, since it uses less digits than its factorization.

420731055360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 420731055360 in words is "four hundred twenty billion, seven hundred thirty-one million, fifty-five thousand, three hundred sixty".