4172164057620 has 288 divisors, whose sum is σ = 14352080870400. Its totient is φ = 972555890688.

The previous prime is 4172164057613. The next prime is 4172164057631. The reversal of 4172164057620 is 267504612714.

4172164057620 is a `hidden beast` number, since 4 + 1 + 7 + 2 + 16 + 4 + 0 + 5 + 7 + 620 = 666.

It is a super-3 number, since 3×4172164057620³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 120869484 + ... + 120903996.

Almost surely, 2^{4172164057620} 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 4172164057620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7176040435200).

4172164057620 is an abundant number, since it is smaller than the sum of its proper divisors (10179916812780).

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

4172164057620 is a wasteful number, since it uses less digits than its factorization.

4172164057620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37279 (or 37274 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 4172164057620 in words is "four trillion, one hundred seventy-two billion, one hundred sixty-four million, fifty-seven thousand, six hundred twenty".