225740390400 has 1020 divisors, whose sum is σ = 959695570592. Its totient is φ = 51597803520.

The previous prime is 225740390389. The next prime is 225740390437. The reversal of 225740390400 is 4093047522.

It is a Jordan-Polya number, since it can be written as 10! ⋅ 4! ⋅ (3!)⁴ ⋅ 2!.

225740390400 is a `hidden beast` number, since 225 + 7 + 4 + 0 + 390 + 40 + 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 an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 32248627197 + ... + 32248627203.

Almost surely, 2^225740390400 is an apocalyptic number.

225740390400 is a gapful number since it is divisible by the number (20) 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 225740390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479847785296).

225740390400 is an abundant number, since it is smaller than the sum of its proper divisors (733955180192).

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

225740390400 is an frugal number, since it uses more digits than its factorization.

225740390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 225740390400 in words is "two hundred twenty-five billion, seven hundred forty million, three hundred ninety thousand, four hundred".