420274030111056 has 1600 divisors, whose sum is σ = 1498957157744640. Its totient is φ = 112258814976000.

The previous prime is 420274030111051. The next prime is 420274030111057. The reversal of 420274030111056 is 650111030472024.

420274030111056 is a `hidden beast` number, since 4 + 20 + 274 + 0 + 301 + 1 + 10 + 56 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 420274030111056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420274030111051) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 21518296011 + ... + 21518315541.

Almost surely, 2^{420274030111056} is an apocalyptic number.

420274030111056 is a gapful number since it is divisible by the number (46) 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 420274030111056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749478578872320).

420274030111056 is an abundant number, since it is smaller than the sum of its proper divisors (1078683127633584).

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

420274030111056 is a wasteful number, since it uses less digits than its factorization.

420274030111056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19718 (or 19703 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 420274030111056 in words is "four hundred twenty trillion, two hundred seventy-four billion, thirty million, one hundred eleven thousand, fifty-six".