4557452810400 has 864 divisors, whose sum is σ = 18677932535808. Its totient is φ = 1024192512000.

The previous prime is 4557452810377. The next prime is 4557452810401. The reversal of 4557452810400 is 40182547554.

4557452810400 is a `hidden beast` number, since 4 + 5 + 5 + 74 + 528 + 10 + 40 + 0 = 666.

It is a super-2 number, since 2×4557452810400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4557452810401) 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 143 ways as a sum of consecutive naturals, for example, 723287250 + ... + 723293550.

It is an arithmetic number, because the mean of its divisors is an integer number (21617977472).

Almost surely, 2^{4557452810400} is an apocalyptic number.

4557452810400 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 4557452810400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9338966267904).

4557452810400 is an abundant number, since it is smaller than the sum of its proper divisors (14120479725408).

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

4557452810400 is a wasteful number, since it uses less digits than its factorization.

4557452810400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6574 (or 6558 counting only the distinct ones).

The product of its (nonzero) digits is 896000, while the sum is 45.

The spelling of 4557452810400 in words is "four trillion, five hundred fifty-seven billion, four hundred fifty-two million, eight hundred ten thousand, four hundred".