11969239871440 has 40 divisors (see below), whose sum is σ = 28788085558440. Its totient is φ = 4622602983936.

The previous prime is 11969239871401. The next prime is 11969239871471. The reversal of 11969239871440 is 4417893296911.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 335301218704 + 11633938652736 = 579052^2 + 3410856^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2579575239 + ... + 2579579878.

It is an arithmetic number, because the mean of its divisors is an integer number (719702138961).

Almost surely, 2^{11969239871440} is an apocalyptic number.

11969239871440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11969239871440 is an abundant number, since it is smaller than the sum of its proper divisors (16818845687000).

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

11969239871440 is a wasteful number, since it uses less digits than its factorization.

11969239871440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5159155159 (or 5159155153 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 64.

The spelling of 11969239871440 in words is "eleven trillion, nine hundred sixty-nine billion, two hundred thirty-nine million, eight hundred seventy-one thousand, four hundred forty".