4155359040 has 672 divisors, whose sum is σ = 17295083520. Its totient is φ = 895795200.

The previous prime is 4155359027. The next prime is 4155359063. The reversal of 4155359040 is 409535514.

4155359040 is a `hidden beast` number, since 4 + 15 + 53 + 590 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a junction number, because it is equal to n+sod(n) for n = 4155358986 and 4155359004.

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, 38122506 + ... + 38122614.

Almost surely, 2^4155359040 is an apocalyptic number.

4155359040 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 4155359040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8647541760).

4155359040 is an abundant number, since it is smaller than the sum of its proper divisors (13139724480).

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

4155359040 is a wasteful number, since it uses less digits than its factorization.

4155359040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 4155359040 is about 64462.0744314050. The cubic root of 4155359040 is about 1607.6920030876.

The spelling of 4155359040 in words is "four billion, one hundred fifty-five million, three hundred fifty-nine thousand, forty".