11872332426240 has 1056 divisors, whose sum is σ = 48402418349376. Its totient is φ = 2652721643520.

The previous prime is 11872332426233. The next prime is 11872332426299. The reversal of 11872332426240 is 4262423327811.

11872332426240 is a `hidden beast` number, since 1 + 1 + 8 + 7 + 23 + 324 + 262 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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 95 ways as a sum of consecutive naturals, for example, 7360403674 + ... + 7360405286.

Almost surely, 2^{11872332426240} is an apocalyptic number.

11872332426240 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 11872332426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24201209174688).

11872332426240 is an abundant number, since it is smaller than the sum of its proper divisors (36530085923136).

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

11872332426240 is a wasteful number, since it uses less digits than its factorization.

11872332426240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2785 (or 2764 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 11872332426240 in words is "eleven trillion, eight hundred seventy-two billion, three hundred thirty-two million, four hundred twenty-six thousand, two hundred forty".