4097164431360 has 2496 divisors, whose sum is σ = 18553805512704. Its totient is φ = 758041804800.

The previous prime is 4097164431331. The next prime is 4097164431397. The reversal of 4097164431360 is 631344617904.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13345812327 + ... + 13345812633.

Almost surely, 2^{4097164431360} is an apocalyptic number.

4097164431360 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 4097164431360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9276902756352).

4097164431360 is an abundant number, since it is smaller than the sum of its proper divisors (14456641081344).

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

4097164431360 is a wasteful number, since it uses less digits than its factorization.

4097164431360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The spelling of 4097164431360 in words is "four trillion, ninety-seven billion, one hundred sixty-four million, four hundred thirty-one thousand, three hundred sixty".