7440599113920 has 1344 divisors, whose sum is σ = 32261848120320. Its totient is φ = 1594372128768.

The previous prime is 7440599113879. The next prime is 7440599113933. The reversal of 7440599113920 is 293119950447.

7440599113920 is a `hidden beast` number, since 7 + 4 + 4 + 0 + 599 + 11 + 39 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 1003178052 + ... + 1003185468.

It is an arithmetic number, because the mean of its divisors is an integer number (24004351280).

Almost surely, 2^{7440599113920} is an apocalyptic number.

7440599113920 is a gapful number since it is divisible by the number (70) 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 7440599113920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16130924060160).

7440599113920 is an abundant number, since it is smaller than the sum of its proper divisors (24821249006400).

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

7440599113920 is a wasteful number, since it uses less digits than its factorization.

7440599113920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7572 (or 7550 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 7440599113920 in words is "seven trillion, four hundred forty billion, five hundred ninety-nine million, one hundred thirteen thousand, nine hundred twenty".