12040190438400 has 3168 divisors, whose sum is σ = 50735059415040. Its totient is φ = 2814230200320.

The previous prime is 12040190438399. The next prime is 12040190438509. The reversal of 12040190438400 is 483409104021.

It is a happy number.

12040190438400 is a `hidden beast` number, since 1 + 20 + 4 + 0 + 190 + 43 + 8 + 400 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 116895052749 + ... + 116895052851.

Almost surely, 2^{12040190438400} is an apocalyptic number.

12040190438400 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 12040190438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25367529707520).

12040190438400 is an abundant number, since it is smaller than the sum of its proper divisors (38694868976640).

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

12040190438400 is a wasteful number, since it uses less digits than its factorization.

12040190438400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 12040190438400 in words is "twelve trillion, forty billion, one hundred ninety million, four hundred thirty-eight thousand, four hundred".