120045626330400 has 432 divisors, whose sum is σ = 448283244551688. Its totient is φ = 30124277760000.

The previous prime is 120045626330369. The next prime is 120045626330407. The reversal of 120045626330400 is 4033626540021.

120045626330400 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 4 + 562 + 63 + 30 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 61751118643344 + 58294507687056 = 7858188^2 + 7635084^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (120045626330407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 798095200 + ... + 798245600.

Almost surely, 2^{120045626330400} is an apocalyptic number.

120045626330400 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 120045626330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224141622275844).

120045626330400 is an abundant number, since it is smaller than the sum of its proper divisors (328237618221288).

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

120045626330400 is a wasteful number, since it uses less digits than its factorization.

120045626330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156965 (or 156949 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 120045626330400 in words is "one hundred twenty trillion, forty-five billion, six hundred twenty-six million, three hundred thirty thousand, four hundred".