45235204414400 has 672 divisors, whose sum is σ = 154268032880640. Its totient is φ = 12594880512000.

The previous prime is 45235204414319. The next prime is 45235204414489. The reversal of 45235204414400 is 441440253254.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 49194056 + ... + 50105144.

It is an arithmetic number, because the mean of its divisors is an integer number (229565525120).

Almost surely, 2^{45235204414400} is an apocalyptic number.

45235204414400 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 45235204414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77134016440320).

45235204414400 is an abundant number, since it is smaller than the sum of its proper divisors (109032828466240).

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

45235204414400 is a wasteful number, since it uses less digits than its factorization.

45235204414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911173 (or 911158 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 38.

Adding to 45235204414400 its reverse (441440253254), we get a palindrome (45676644667654).

The spelling of 45235204414400 in words is "forty-five trillion, two hundred thirty-five billion, two hundred four million, four hundred fourteen thousand, four hundred".