420207620517792 has 432 divisors, whose sum is σ = 1379305921593600. Its totient is φ = 120862659133440.

The previous prime is 420207620517787. The next prime is 420207620517829. The reversal of 420207620517792 is 297715026702024.

420207620517792 is a `hidden beast` number, since 4 + 2 + 0 + 2 + 0 + 7 + 620 + 5 + 1 + 7 + 7 + 9 + 2 = 666.

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, 44737884 + ... + 53309412.

Almost surely, 2^{420207620517792} 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 420207620517792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689652960796800).

420207620517792 is an abundant number, since it is smaller than the sum of its proper divisors (959098301075808).

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

420207620517792 is a wasteful number, since it uses less digits than its factorization.

420207620517792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8571629 (or 8571601 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 420207620517792 in words is "four hundred twenty trillion, two hundred seven billion, six hundred twenty million, five hundred seventeen thousand, seven hundred ninety-two".