119993640710400 has 432 divisors, whose sum is σ = 448306464049920. Its totient is φ = 31394560204800.

The previous prime is 119993640710353. The next prime is 119993640710407. The reversal of 119993640710400 is 4017046399911.

119993640710400 is a `hidden beast` number, since 1 + 1 + 99 + 93 + 64 + 0 + 7 + 1 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (119993640710407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2607385 + ... + 15709415.

It is an arithmetic number, because the mean of its divisors is an integer number (1037746444560).

Almost surely, 2^{119993640710400} is an apocalyptic number.

119993640710400 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 119993640710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224153232024960).

119993640710400 is an abundant number, since it is smaller than the sum of its proper divisors (328312823339520).

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

119993640710400 is a wasteful number, since it uses less digits than its factorization.

119993640710400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13102119 (or 13102094 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 119993640710400 in words is "one hundred nineteen trillion, nine hundred ninety-three billion, six hundred forty million, seven hundred ten thousand, four hundred".