11899975429440 has 448 divisors, whose sum is σ = 47985792491520. Its totient is φ = 2719534417920.

The previous prime is 11899975429429. The next prime is 11899975429561. The reversal of 11899975429440 is 4492457999811.

11899975429440 is a `hidden beast` number, since 1 + 1 + 8 + 9 + 99 + 75 + 4 + 29 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 63 ways as a sum of consecutive naturals, for example, 465138889 + ... + 465164471.

Almost surely, 2^{11899975429440} is an apocalyptic number.

11899975429440 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 11899975429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23992896245760).

11899975429440 is an abundant number, since it is smaller than the sum of its proper divisors (36085817062080).

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

11899975429440 is a wasteful number, since it uses less digits than its factorization.

11899975429440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33307 (or 33291 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 72.

The spelling of 11899975429440 in words is "eleven trillion, eight hundred ninety-nine billion, nine hundred seventy-five million, four hundred twenty-nine thousand, four hundred forty".