11982397140 has 576 divisors, whose sum is σ = 44925124608. Its totient is φ = 2527718400.

The previous prime is 11982397129. The next prime is 11982397151. The reversal of 11982397140 is 4179328911.

11982397140 is a `hidden beast` number, since 119 + 8 + 2 + 397 + 140 = 666.

It is an interprime number because it is at equal distance from previous prime (11982397129) and next prime (11982397151).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 111984967 + ... + 111985073.

It is an arithmetic number, because the mean of its divisors is an integer number (77995008).

Almost surely, 2^11982397140 is an apocalyptic number.

11982397140 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 11982397140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22462562304).

11982397140 is an abundant number, since it is smaller than the sum of its proper divisors (32942727468).

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

11982397140 is a wasteful number, since it uses less digits than its factorization.

11982397140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 11982397140 in words is "eleven billion, nine hundred eighty-two million, three hundred ninety-seven thousand, one hundred forty".