225478077440 has 528 divisors, whose sum is σ = 716710705920. Its totient is φ = 66111406080.

The previous prime is 225478077437. The next prime is 225478077463. The reversal of 225478077440 is 44770874522.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113934371 + ... + 113936349.

It is an arithmetic number, because the mean of its divisors is an integer number (1357406640).

Almost surely, 2^225478077440 is an apocalyptic number.

225478077440 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 225478077440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358355352960).

225478077440 is an abundant number, since it is smaller than the sum of its proper divisors (491232628480).

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

225478077440 is a wasteful number, since it uses less digits than its factorization.

225478077440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 3512320, while the sum is 50.

The spelling of 225478077440 in words is "two hundred twenty-five billion, four hundred seventy-eight million, seventy-seven thousand, four hundred forty".