4455972326400 has 1056 divisors, whose sum is σ = 18068005002240. Its totient is φ = 945322721280.

The previous prime is 4455972326369. The next prime is 4455972326423. The reversal of 4455972326400 is 46232795544.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 667158261 + ... + 667164939.

Almost surely, 2^{4455972326400} is an apocalyptic number.

4455972326400 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 4455972326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9034002501120).

4455972326400 is an abundant number, since it is smaller than the sum of its proper divisors (13612032675840).

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

4455972326400 is a wasteful number, since it uses less digits than its factorization.

4455972326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6809 (or 6786 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 51.

The spelling of 4455972326400 in words is "four trillion, four hundred fifty-five billion, nine hundred seventy-two million, three hundred twenty-six thousand, four hundred".