45124344400 has 180 divisors, whose sum is σ = 116575788672. Its totient is φ = 16779745280.

The previous prime is 45124344379. The next prime is 45124344479. The reversal of 45124344400 is 444342154.

It is a super-2 number, since 2×45124344400² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9592449 + ... + 9597151.

Almost surely, 2^45124344400 is an apocalyptic number.

45124344400 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 45124344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58287894336).

45124344400 is an abundant number, since it is smaller than the sum of its proper divisors (71451444272).

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

45124344400 is a wasteful number, since it uses less digits than its factorization.

45124344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4838 (or 4810 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 31.

Adding to 45124344400 its reverse (444342154), we get a palindrome (45568686554).

The spelling of 45124344400 in words is "forty-five billion, one hundred twenty-four million, three hundred forty-four thousand, four hundred".