420133174272 has 1232 divisors, whose sum is σ = 1542604658112. Its totient is φ = 111795240960.

The previous prime is 420133174247. The next prime is 420133174301. The reversal of 420133174272 is 272471331024.

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 111 ways as a sum of consecutive naturals, for example, 7927040998 + ... + 7927041050.

Almost surely, 2^420133174272 is an apocalyptic number.

420133174272 is a gapful number since it is divisible by the number (42) 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 420133174272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771302329056).

420133174272 is an abundant number, since it is smaller than the sum of its proper divisors (1122471483840).

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

420133174272 is an equidigital number, since it uses as much as digits as its factorization.

420133174272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 420133174272 in words is "four hundred twenty billion, one hundred thirty-three million, one hundred seventy-four thousand, two hundred seventy-two".