45150429542400 has 3888 divisors, whose sum is σ = 211345781676120. Its totient is φ = 9481096396800.

The previous prime is 45150429542389. The next prime is 45150429542401. The reversal of 45150429542400 is 424592405154.

45150429542400 is a `hidden beast` number, since 4 + 5 + 150 + 4 + 2 + 95 + 4 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (3888).

It is a super-2 number, since 2×45150429542400² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45150429542401) by changing a digit.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 213983078295 + ... + 213983078505.

Almost surely, 2^{45150429542400} is an apocalyptic number.

45150429542400 is a gapful number since it is divisible by the number (40) 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 45150429542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105672890838060).

45150429542400 is an abundant number, since it is smaller than the sum of its proper divisors (166195352133720).

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

45150429542400 is an equidigital number, since it uses as much as digits as its factorization.

45150429542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 45150429542400 in words is "forty-five trillion, one hundred fifty billion, four hundred twenty-nine million, five hundred forty-two thousand, four hundred".