4525557350400 has 918 divisors, whose sum is σ = 16874075559302. Its totient is φ = 1203948748800.

The previous prime is 4525557350339. The next prime is 4525557350401. The reversal of 4525557350400 is 40537555254.

It is a happy number.

4525557350400 is a `hidden beast` number, since 4 + 5 + 2 + 5 + 557 + 3 + 50 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 52027785216 + 4473529565184 = 228096^2 + 2115072^2 .

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4525557350401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 10749542190 + ... + 10749542610.

Almost surely, 2^{4525557350400} is an apocalyptic number.

4525557350400 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 4525557350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8437037779651).

4525557350400 is an abundant number, since it is smaller than the sum of its proper divisors (12348518208902).

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

4525557350400 is an frugal number, since it uses more digits than its factorization.

4525557350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 2100000, while the sum is 45.

The spelling of 4525557350400 in words is "four trillion, five hundred twenty-five billion, five hundred fifty-seven million, three hundred fifty thousand, four hundred".