332441115006000 has 2560 divisors, whose sum is σ = 1503943421460480. Its totient is φ = 60897982464000.

The previous prime is 332441115005983. The next prime is 332441115006001. The reversal of 332441115006000 is 600511144233.

It is a super-2 number, since 2×332441115006000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (332441115006001) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 114516400549 + ... + 114516403451.

It is an arithmetic number, because the mean of its divisors is an integer number (587477899008).

Almost surely, 2^{332441115006000} is an apocalyptic number.

332441115006000 is a gapful number since it is divisible by the number (30) 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 332441115006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751971710730240).

332441115006000 is an abundant number, since it is smaller than the sum of its proper divisors (1171502306454480).

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

332441115006000 is a wasteful number, since it uses less digits than its factorization.

332441115006000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3812 (or 3796 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 332441115006000 in words is "three hundred thirty-two trillion, four hundred forty-one billion, one hundred fifteen million, six thousand".