11624609040 has 160 divisors (see below), whose sum is σ = 39460867200. Its totient is φ = 2807439360.

The previous prime is 11624609033. The next prime is 11624609041. The reversal of 11624609040 is 4090642611.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 11624608992 and 11624609010.

It is not an unprimeable number, because it can be changed into a prime (11624609041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 701976 + ... + 718344.

It is an arithmetic number, because the mean of its divisors is an integer number (246630420).

Almost surely, 2^11624609040 is an apocalyptic number.

11624609040 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 11624609040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19730433600).

11624609040 is an abundant number, since it is smaller than the sum of its proper divisors (27836258160).

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

11624609040 is a wasteful number, since it uses less digits than its factorization.

11624609040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16665 (or 16659 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 11624609040 in words is "eleven billion, six hundred twenty-four million, six hundred nine thousand, forty".