957228906240 has 432 divisors, whose sum is σ = 3601534442688. Its totient is φ = 233750790144.

The previous prime is 957228906209. The next prime is 957228906253. The reversal of 957228906240 is 42609822759.

957228906240 is a `hidden beast` number, since 9 + 5 + 7 + 2 + 2 + 8 + 9 + 0 + 624 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 7180029 + ... + 7312131.

It is an arithmetic number, because the mean of its divisors is an integer number (8336885284).

Almost surely, 2^957228906240 is an apocalyptic number.

957228906240 is a gapful number since it is divisible by the number (90) 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 957228906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800767221344).

957228906240 is an abundant number, since it is smaller than the sum of its proper divisors (2644305536448).

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

957228906240 is a wasteful number, since it uses less digits than its factorization.

957228906240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132184 (or 132167 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 957228906240 in words is "nine hundred fifty-seven billion, two hundred twenty-eight million, nine hundred six thousand, two hundred forty".