132409793318400 has 1680 divisors, whose sum is σ = 530732637499680. Its totient is φ = 32529309696000.

The previous prime is 132409793318353. The next prime is 132409793318401. The reversal of 132409793318400 is 4813397904231.

132409793318400 is a `hidden beast` number, since 1 + 32 + 4 + 0 + 97 + 93 + 31 + 8 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132409793318401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 101775397750 + ... + 101775399050.

It is an arithmetic number, because the mean of its divisors is an integer number (315912284226).

Almost surely, 2^{132409793318400} is an apocalyptic number.

132409793318400 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 132409793318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265366318749840).

132409793318400 is an abundant number, since it is smaller than the sum of its proper divisors (398322844181280).

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

132409793318400 is an equidigital number, since it uses as much as digits as its factorization.

132409793318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2199 (or 2163 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 132409793318400 in words is "one hundred thirty-two trillion, four hundred nine billion, seven hundred ninety-three million, three hundred eighteen thousand, four hundred".