4131897456024 has 160 divisors (see below), whose sum is σ = 12472440158640. Its totient is φ = 1270428883200.

The previous prime is 4131897455999. The next prime is 4131897456077. The reversal of 4131897456024 is 4206547981314.

4131897456024 is a `hidden beast` number, since 4 + 1 + 3 + 1 + 8 + 9 + 74 + 560 + 2 + 4 = 666.

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 39 ways as a sum of consecutive naturals, for example, 11455959 + ... + 11811129.

It is a 1-persistent number, because it is pandigital, but 2⋅4131897456024 = 8263794912048 is not.

Almost surely, 2^{4131897456024} 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 4131897456024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6236220079320).

4131897456024 is an abundant number, since it is smaller than the sum of its proper divisors (8340542702616).

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

4131897456024 is a wasteful number, since it uses less digits than its factorization.

4131897456024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356583 (or 356570 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 4131897456024 in words is "four trillion, one hundred thirty-one billion, eight hundred ninety-seven million, four hundred fifty-six thousand, twenty-four".