2231325757440 has 2496 divisors, whose sum is σ = 9838478764800. Its totient is φ = 473935380480.

The previous prime is 2231325757429. The next prime is 2231325757489. The reversal of 2231325757440 is 447575231322.

2231325757440 is a `hidden beast` number, since 2 + 2 + 3 + 1 + 3 + 2 + 575 + 74 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a super-3 number, since 3×2231325757440³ (a number of 38 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 71978250225 + ... + 71978250255.

Almost surely, 2^{2231325757440} is an apocalyptic number.

2231325757440 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 2231325757440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4919239382400).

2231325757440 is an abundant number, since it is smaller than the sum of its proper divisors (7607153007360).

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

2231325757440 is a wasteful number, since it uses less digits than its factorization.

2231325757440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The spelling of 2231325757440 in words is "two trillion, two hundred thirty-one billion, three hundred twenty-five million, seven hundred fifty-seven thousand, four hundred forty".