4113387520 has 312 divisors, whose sum is σ = 11712474720. Its totient is φ = 1371340800.

The previous prime is 4113387517. The next prime is 4113387533. The reversal of 4113387520 is 257833114.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132689905 + ... + 132689935.

Almost surely, 2^4113387520 is an apocalyptic number.

4113387520 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 4113387520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5856237360).

4113387520 is an abundant number, since it is smaller than the sum of its proper divisors (7599087200).

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

4113387520 is a wasteful number, since it uses less digits than its factorization.

4113387520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 4113387520 is about 64135.6961449706. The cubic root of 4113387520 is about 1602.2608039737.

The spelling of 4113387520 in words is "four billion, one hundred thirteen million, three hundred eighty-seven thousand, five hundred twenty".