4155980400 has 1080 divisors, whose sum is σ = 18436070016. Its totient is φ = 889574400.

The previous prime is 4155980357. The next prime is 4155980431. The reversal of 4155980400 is 40895514.

It is a tau number, because it is divible by the number of its divisors (1080).

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 215 ways as a sum of consecutive naturals, for example, 180694789 + ... + 180694811.

Almost surely, 2^4155980400 is an apocalyptic number.

4155980400 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 4155980400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9218035008).

4155980400 is an abundant number, since it is smaller than the sum of its proper divisors (14280089616).

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

4155980400 is a wasteful number, since it uses less digits than its factorization.

4155980400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 4155980400 is about 64466.8938293137. The cubic root of 4155980400 is about 1607.7721330038.

The spelling of 4155980400 in words is "four billion, one hundred fifty-five million, nine hundred eighty thousand, four hundred".