4160398771200 has 528 divisors, whose sum is σ = 15904172067840. Its totient is φ = 939481006080.

The previous prime is 4160398771183. The next prime is 4160398771213. The reversal of 4160398771200 is 21778930614.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4160398771200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44574181 + ... + 44667419.

Almost surely, 2^{4160398771200} is an apocalyptic number.

4160398771200 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 4160398771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7952086033920).

4160398771200 is an abundant number, since it is smaller than the sum of its proper divisors (11743773296640).

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

4160398771200 is a wasteful number, since it uses less digits than its factorization.

4160398771200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93362 (or 93339 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 4160398771200 in words is "four trillion, one hundred sixty billion, three hundred ninety-eight million, seven hundred seventy-one thousand, two hundred".