11879641440 has 240 divisors, whose sum is σ = 43279125120. Its totient is φ = 3065610240.

The previous prime is 11879641421. The next prime is 11879641447. The reversal of 11879641440 is 4414697811.

11879641440 is a `hidden beast` number, since 1 + 1 + 87 + 96 + 41 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×11879641440² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11879641447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 386976 + ... + 416544.

It is an arithmetic number, because the mean of its divisors is an integer number (180329688).

Almost surely, 2^11879641440 is an apocalyptic number.

11879641440 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 11879641440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21639562560).

11879641440 is an abundant number, since it is smaller than the sum of its proper divisors (31399483680).

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

11879641440 is a wasteful number, since it uses less digits than its factorization.

11879641440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29627 (or 29610 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 11879641440 in words is "eleven billion, eight hundred seventy-nine million, six hundred forty-one thousand, four hundred forty".