45102224010400 has 72 divisors (see below), whose sum is σ = 110781300417984. Its totient is φ = 17930209248000.

The previous prime is 45102224010301. The next prime is 45102224010401. The reversal of 45102224010400 is 401042220154.

It is a super-2 number, since 2×45102224010400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (45102224010401) 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 11 ways as a sum of consecutive naturals, for example, 172807576 + ... + 173068375.

It is an arithmetic number, because the mean of its divisors is an integer number (1538629172472).

Almost surely, 2^{45102224010400} is an apocalyptic number.

45102224010400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45102224010400 is an abundant number, since it is smaller than the sum of its proper divisors (65679076407584).

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

45102224010400 is a wasteful number, since it uses less digits than its factorization.

45102224010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345876134 (or 345876121 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 45102224010400 its reverse (401042220154), we get a palindrome (45503266230554).

The spelling of 45102224010400 in words is "forty-five trillion, one hundred two billion, two hundred twenty-four million, ten thousand, four hundred".