420220645197504 has 224 divisors, whose sum is σ = 1176979212752640. Its totient is φ = 132091706880000.

The previous prime is 420220645197497. The next prime is 420220645197559. The reversal of 420220645197504 is 405791546022024.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7721636214 + ... + 7721690634.

Almost surely, 2^{420220645197504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420220645197504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588489606376320).

420220645197504 is an abundant number, since it is smaller than the sum of its proper divisors (756758567555136).

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

420220645197504 is a wasteful number, since it uses less digits than its factorization.

420220645197504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86759 (or 86749 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 51.

The spelling of 420220645197504 in words is "four hundred twenty trillion, two hundred twenty billion, six hundred forty-five million, one hundred ninety-seven thousand, five hundred four".