420467763141504 has 768 divisors, whose sum is σ = 1380609135360000. Its totient is φ = 126568205697024.

The previous prime is 420467763141499. The next prime is 420467763141511. The reversal of 420467763141504 is 405141367764024.

420467763141504 is a `hidden beast` number, since 4 + 2 + 0 + 4 + 6 + 77 + 63 + 1 + 4 + 1 + 504 = 666.

It is a super-2 number, since 2×420467763141504² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88352122677 + ... + 88352127435.

It is an arithmetic number, because the mean of its divisors is an integer number (1797668145000).

Almost surely, 2^{420467763141504} 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 420467763141504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690304567680000).

420467763141504 is an abundant number, since it is smaller than the sum of its proper divisors (960141372218496).

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

420467763141504 is a wasteful number, since it uses less digits than its factorization.

420467763141504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9497 (or 9473 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 420467763141504 in words is "four hundred twenty trillion, four hundred sixty-seven billion, seven hundred sixty-three million, one hundred forty-one thousand, five hundred four".