420704968320 has 576 divisors, whose sum is σ = 1819940489640. Its totient is φ = 88763351040.

The previous prime is 420704968219. The next prime is 420704968361. The reversal of 420704968320 is 23869407024.

It can be written as a sum of positive squares in 4 ways, for example, as 242465638464 + 178239329856 = 492408^2 + 422184^2 .

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3611790 + ... + 3726450.

Almost surely, 2^420704968320 is an apocalyptic number.

420704968320 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 420704968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909970244820).

420704968320 is an abundant number, since it is smaller than the sum of its proper divisors (1399235521320).

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

420704968320 is a wasteful number, since it uses less digits than its factorization.

420704968320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114713 (or 114691 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 420704968320 in words is "four hundred twenty billion, seven hundred four million, nine hundred sixty-eight thousand, three hundred twenty".