420538888319760 has 1440 divisors, whose sum is σ = 1785953983057920. Its totient is φ = 88086565324800.

The previous prime is 420538888319707. The next prime is 420538888319813. The reversal of 420538888319760 is 67913888835024.

420538888319760 is a `hidden beast` number, since 4 + 2 + 0 + 538 + 8 + 8 + 8 + 3 + 19 + 76 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (420538888319707) and next prime (420538888319813).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 76698681979 + ... + 76698687461.

It is an arithmetic number, because the mean of its divisors is an integer number (1240245821568).

It is a 2-persistent number, because it is pandigital, and so is 2⋅420538888319760 = 841077776639520, but 3⋅420538888319760 = 1261616664959280 is not.

Almost surely, 2^{420538888319760} is an apocalyptic number.

420538888319760 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 420538888319760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892976991528960).

420538888319760 is an abundant number, since it is smaller than the sum of its proper divisors (1365415094738160).

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

420538888319760 is a wasteful number, since it uses less digits than its factorization.

420538888319760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9257 (or 9241 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 420538888319760 in words is "four hundred twenty trillion, five hundred thirty-eight billion, eight hundred eighty-eight million, three hundred nineteen thousand, seven hundred sixty".