4523025137400 has 2304 divisors, whose sum is σ = 21419657625600. Its totient is φ = 825624576000.

The previous prime is 4523025137369. The next prime is 4523025137401. The reversal of 4523025137400 is 47315203254.

4523025137400 is a `hidden beast` number, since 4 + 5 + 2 + 30 + 251 + 374 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4523025137401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 3178513089 + ... + 3178514511.

It is an arithmetic number, because the mean of its divisors is an integer number (9296726400).

Almost surely, 2^{4523025137400} is an apocalyptic number.

4523025137400 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 4523025137400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10709828812800).

4523025137400 is an abundant number, since it is smaller than the sum of its proper divisors (16896632488200).

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

4523025137400 is a wasteful number, since it uses less digits than its factorization.

4523025137400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 4523025137400 in words is "four trillion, five hundred twenty-three billion, twenty-five million, one hundred thirty-seven thousand, four hundred".