4135924296960 has 288 divisors, whose sum is σ = 13789844103168. Its totient is φ = 1054468546560.

The previous prime is 4135924296913. The next prime is 4135924296989. The reversal of 4135924296960 is 696924295314.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 4135924296894 and 4135924296903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212929809 + ... + 212949231.

It is an arithmetic number, because the mean of its divisors is an integer number (47881403136).

Almost surely, 2^{4135924296960} is an apocalyptic number.

4135924296960 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 4135924296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6894922051584).

4135924296960 is an abundant number, since it is smaller than the sum of its proper divisors (9653919806208).

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

4135924296960 is a wasteful number, since it uses less digits than its factorization.

4135924296960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21881 (or 21867 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 60.

The spelling of 4135924296960 in words is "four trillion, one hundred thirty-five billion, nine hundred twenty-four million, two hundred ninety-six thousand, nine hundred sixty".