11880421440 has 224 divisors, whose sum is σ = 40251302784. Its totient is φ = 2958458880.

The previous prime is 11880421439. The next prime is 11880421463. The reversal of 11880421440 is 4412408811.

It is a super-2 number, since 2×11880421440² (a number of 21 digits) contains 22 as substring.

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, 2135142 + ... + 2140698.

It is an arithmetic number, because the mean of its divisors is an integer number (179693316).

Almost surely, 2^11880421440 is an apocalyptic number.

11880421440 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 11880421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20125651392).

11880421440 is an abundant number, since it is smaller than the sum of its proper divisors (28370881344).

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

11880421440 is a wasteful number, since it uses less digits than its factorization.

11880421440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5725 (or 5715 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The spelling of 11880421440 in words is "eleven billion, eight hundred eighty million, four hundred twenty-one thousand, four hundred forty".