45143350424400 has 240 divisors, whose sum is σ = 146137865064128. Its totient is φ = 11911034880000.

The previous prime is 45143350424383. The next prime is 45143350424437. The reversal of 45143350424400 is 442405334154.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 467996175 + ... + 468092625.

Almost surely, 2^{45143350424400} is an apocalyptic number.

45143350424400 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 45143350424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73068932532064).

45143350424400 is an abundant number, since it is smaller than the sum of its proper divisors (100994514639728).

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

45143350424400 is a wasteful number, since it uses less digits than its factorization.

45143350424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100590 (or 100579 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 39.

Adding to 45143350424400 its reverse (442405334154), we get a palindrome (45585755758554).

The spelling of 45143350424400 in words is "forty-five trillion, one hundred forty-three billion, three hundred fifty million, four hundred twenty-four thousand, four hundred".