4325813862400 has 180 divisors, whose sum is σ = 10838385284188. Its totient is φ = 1712471408640.

The previous prime is 4325813862341. The next prime is 4325813862407. The reversal of 4325813862400 is 42683185234.

It can be written as a sum of positive squares in 6 ways, for example, as 21218000896 + 4304595861504 = 145664^2 + 2074752^2 .

It is a super-2 number, since 2×4325813862400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4325813862407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39676762 + ... + 39785638.

Almost surely, 2^{4325813862400} is an apocalyptic number.

4325813862400 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 4325813862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5419192642094).

4325813862400 is an abundant number, since it is smaller than the sum of its proper divisors (6512571421788).

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

4325813862400 is an equidigital number, since it uses as much as digits as its factorization.

4325813862400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109012 (or 108981 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 46.

The spelling of 4325813862400 in words is "four trillion, three hundred twenty-five billion, eight hundred thirteen million, eight hundred sixty-two thousand, four hundred".