11358379440 has 160 divisors (see below), whose sum is σ = 39405811200. Its totient is φ = 3007031040.

The previous prime is 11358379429. The next prime is 11358379469. The reversal of 11358379440 is 4497385311.

11358379440 is a `hidden beast` number, since 1 + 135 + 8 + 3 + 79 + 440 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 281325 + ... + 319155.

It is an arithmetic number, because the mean of its divisors is an integer number (246286320).

Almost surely, 2^11358379440 is an apocalyptic number.

11358379440 is a gapful number since it is divisible by the number (10) 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 11358379440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19702905600).

11358379440 is an abundant number, since it is smaller than the sum of its proper divisors (28047431760).

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

11358379440 is a wasteful number, since it uses less digits than its factorization.

11358379440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37992 (or 37980 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 11358379440 in words is "eleven billion, three hundred fifty-eight million, three hundred seventy-nine thousand, four hundred forty".