11124032004140 has 96 divisors (see below), whose sum is σ = 25882139824128. Its totient is φ = 3982011264000.

The previous prime is 11124032004133. The next prime is 11124032004149. The reversal of 11124032004140 is 4140023042111.

It is not an unprimeable number, because it can be changed into a prime (11124032004149) 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, 21426020 + ... + 21939060.

It is an arithmetic number, because the mean of its divisors is an integer number (269605623168).

Almost surely, 2^{11124032004140} is an apocalyptic number.

11124032004140 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 11124032004140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12941069912064).

11124032004140 is an abundant number, since it is smaller than the sum of its proper divisors (14758107819988).

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

11124032004140 is a wasteful number, since it uses less digits than its factorization.

11124032004140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514599 (or 514597 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 11124032004140 its reverse (4140023042111), we get a palindrome (15264055046251).

The spelling of 11124032004140 in words is "eleven trillion, one hundred twenty-four billion, thirty-two million, four thousand, one hundred forty".