11969042400 has 864 divisors, whose sum is σ = 52646630400. Its totient is φ = 2496614400.

The previous prime is 11969042399. The next prime is 11969042413. The reversal of 11969042400 is 424096911.

It is a happy number.

It is a super-3 number, since 3×11969042400³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27770185 + ... + 27770615.

It is an arithmetic number, because the mean of its divisors is an integer number (60933600).

Almost surely, 2^11969042400 is an apocalyptic number.

11969042400 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 11969042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26323315200).

11969042400 is an abundant number, since it is smaller than the sum of its proper divisors (40677588000).

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

11969042400 is a wasteful number, since it uses less digits than its factorization.

11969042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 11969042400 in words is "eleven billion, nine hundred sixty-nine million, forty-two thousand, four hundred".