10332241597440 has 440 divisors, whose sum is σ = 42314197149312. Its totient is φ = 2361654558720.

The previous prime is 10332241597427. The next prime is 10332241597451. The reversal of 10332241597440 is 4479514223301.

10332241597440 is a `hidden beast` number, since 1 + 0 + 3 + 32 + 24 + 1 + 597 + 4 + 4 + 0 = 666.

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

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 1123485 + ... + 4682595.

Almost surely, 2^{10332241597440} is an apocalyptic number.

10332241597440 is a gapful number since it is divisible by the number (10) 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 10332241597440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21157098574656).

10332241597440 is an abundant number, since it is smaller than the sum of its proper divisors (31981955551872).

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

10332241597440 is an equidigital number, since it uses as much as digits as its factorization.

10332241597440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3559155 (or 3559128 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 10332241597440 in words is "ten trillion, three hundred thirty-two billion, two hundred forty-one million, five hundred ninety-seven thousand, four hundred forty".