4527251590400 has 972 divisors, whose sum is σ = 14418079957260. Its totient is φ = 1402232832000.

The previous prime is 4527251590399. The next prime is 4527251590423. The reversal of 4527251590400 is 40951527254.

It can be written as a sum of positive squares in 6 ways, for example, as 297493504 + 4526954096896 = 17248^2 + 2127664^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 8689542140 + ... + 8689542660.

Almost surely, 2^{4527251590400} is an apocalyptic number.

4527251590400 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 4527251590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7209039978630).

4527251590400 is an abundant number, since it is smaller than the sum of its proper divisors (9890828366860).

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

4527251590400 is a wasteful number, since it uses less digits than its factorization.

4527251590400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 44.

The spelling of 4527251590400 in words is "four trillion, five hundred twenty-seven billion, two hundred fifty-one million, five hundred ninety thousand, four hundred".