4113569940480 has 2816 divisors, whose sum is σ = 19924618936320. Its totient is φ = 786866503680.

The previous prime is 4113569940457. The next prime is 4113569940499. The reversal of 4113569940480 is 840499653114.

4113569940480 is a `hidden beast` number, since 4 + 1 + 1 + 35 + 6 + 99 + 40 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11208637257 + ... + 11208637623.

Almost surely, 2^{4113569940480} is an apocalyptic number.

4113569940480 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 4113569940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9962309468160).

4113569940480 is an abundant number, since it is smaller than the sum of its proper divisors (15811048995840).

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

4113569940480 is a wasteful number, since it uses less digits than its factorization.

4113569940480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 4113569940480 in words is "four trillion, one hundred thirteen billion, five hundred sixty-nine million, nine hundred forty thousand, four hundred eighty".