4695400120320 has 1600 divisors, whose sum is σ = 20803862217600. Its totient is φ = 990677827584.

The previous prime is 4695400120297. The next prime is 4695400120361. The reversal of 4695400120320 is 230210045964.

It is a happy number.

4695400120320 is a `hidden beast` number, since 4 + 69 + 540 + 0 + 1 + 20 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 361184624634 + ... + 361184624646.

It is an arithmetic number, because the mean of its divisors is an integer number (13002413886).

Almost surely, 2^{4695400120320} is an apocalyptic number.

4695400120320 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 4695400120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10401931108800).

4695400120320 is an abundant number, since it is smaller than the sum of its proper divisors (16108462097280).

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

4695400120320 is an frugal number, since it uses more digits than its factorization.

4695400120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 4695400120320 in words is "four trillion, six hundred ninety-five billion, four hundred million, one hundred twenty thousand, three hundred twenty".