4113259636320 has 576 divisors, whose sum is σ = 15664215490560. Its totient is φ = 978432307200.

The previous prime is 4113259636313. The next prime is 4113259636379. The reversal of 4113259636320 is 236369523114.

4113259636320 is a `hidden beast` number, since 4 + 1 + 1 + 3 + 2 + 5 + 9 + 6 + 3 + 632 + 0 = 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, 31316385 + ... + 31447455.

It is an arithmetic number, because the mean of its divisors is an integer number (27194818560).

Almost surely, 2^{4113259636320} is an apocalyptic number.

4113259636320 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 4113259636320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7832107745280).

4113259636320 is an abundant number, since it is smaller than the sum of its proper divisors (11550955854240).

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

4113259636320 is a wasteful number, since it uses less digits than its factorization.

4113259636320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131179 (or 131168 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 4113259636320 in words is "four trillion, one hundred thirteen billion, two hundred fifty-nine million, six hundred thirty-six thousand, three hundred twenty".