250045939440 has 640 divisors, whose sum is σ = 960898498560. Its totient is φ = 59257267200.

The previous prime is 250045939427. The next prime is 250045939447. The reversal of 250045939440 is 44939540052.

250045939440 is a `hidden beast` number, since 2 + 50 + 0 + 4 + 593 + 9 + 4 + 4 + 0 = 666.

250045939440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (250045939447) 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 127 ways as a sum of consecutive naturals, for example, 203123625 + ... + 203124855.

It is an arithmetic number, because the mean of its divisors is an integer number (1501403904).

Almost surely, 2^250045939440 is an apocalyptic number.

250045939440 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 250045939440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480449249280).

250045939440 is an abundant number, since it is smaller than the sum of its proper divisors (710852559120).

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

250045939440 is a wasteful number, since it uses less digits than its factorization.

250045939440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 250045939440 in words is "two hundred fifty billion, forty-five million, nine hundred thirty-nine thousand, four hundred forty".