11624565132040 has 128 divisors (see below), whose sum is σ = 30445099176960. Its totient is φ = 3912204282624.

The previous prime is 11624565132001. The next prime is 11624565132119. The reversal of 11624565132040 is 4023156542611.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 11624565131984 and 11624565132002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4214299 + ... + 6403861.

It is an arithmetic number, because the mean of its divisors is an integer number (237852337320).

Almost surely, 2^{11624565132040} is an apocalyptic number.

11624565132040 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 11624565132040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15222549588480).

11624565132040 is an abundant number, since it is smaller than the sum of its proper divisors (18820534044920).

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

11624565132040 is a wasteful number, since it uses less digits than its factorization.

11624565132040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2189931 (or 2189927 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 11624565132040 in words is "eleven trillion, six hundred twenty-four billion, five hundred sixty-five million, one hundred thirty-two thousand, forty".