4155976440 has 384 divisors, whose sum is σ = 16928870400. Its totient is φ = 859023360.

The previous prime is 4155976411. The next prime is 4155976453. The reversal of 4155976440 is 446795514.

4155976440 is a `hidden beast` number, since 4 + 15 + 597 + 6 + 4 + 40 = 666.

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, 8676121 + ... + 8676599.

It is an arithmetic number, because the mean of its divisors is an integer number (44085600).

Almost surely, 2^4155976440 is an apocalyptic number.

4155976440 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 4155976440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8464435200).

4155976440 is an abundant number, since it is smaller than the sum of its proper divisors (12772893960).

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

4155976440 is a wasteful number, since it uses less digits than its factorization.

4155976440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 4155976440 is about 64466.8631158675. The cubic root of 4155976440 is about 1607.7716223518.

The spelling of 4155976440 in words is "four billion, one hundred fifty-five million, nine hundred seventy-six thousand, four hundred forty".