120542791910400 has 792 divisors, whose sum is σ = 447474396512000. Its totient is φ = 30971555020800.

The previous prime is 120542791910353. The next prime is 120542791910417. The reversal of 120542791910400 is 4019197245021.

120542791910400 is a `hidden beast` number, since 1 + 2 + 0 + 54 + 2 + 7 + 9 + 191 + 0 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1635572751 + ... + 1635646449.

Almost surely, 2^{120542791910400} is an apocalyptic number.

120542791910400 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 120542791910400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223737198256000).

120542791910400 is an abundant number, since it is smaller than the sum of its proper divisors (326931604601600).

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

120542791910400 is a wasteful number, since it uses less digits than its factorization.

120542791910400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73995 (or 73969 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 120542791910400 in words is "one hundred twenty trillion, five hundred forty-two billion, seven hundred ninety-one million, nine hundred ten thousand, four hundred".