420770975520 has 768 divisors, whose sum is σ = 1640658862080. Its totient is φ = 88614789120.

The previous prime is 420770975473. The next prime is 420770975593. The reversal of 420770975520 is 25579077024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 420770975520.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5326214841 + ... + 5326214919.

It is an arithmetic number, because the mean of its divisors is an integer number (2136274560).

Almost surely, 2^420770975520 is an apocalyptic number.

420770975520 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 420770975520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820329431040).

420770975520 is an abundant number, since it is smaller than the sum of its proper divisors (1219887886560).

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

420770975520 is an equidigital number, since it uses as much as digits as its factorization.

420770975520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1234800, while the sum is 48.

The spelling of 420770975520 in words is "four hundred twenty billion, seven hundred seventy million, nine hundred seventy-five thousand, five hundred twenty".