2433080955144 has 256 divisors, whose sum is σ = 7557960499200. Its totient is φ = 636964819200.

The previous prime is 2433080955103. The next prime is 2433080955157. The reversal of 2433080955144 is 4415590803342.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2433080955093 and 2433080955102.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 198986359 + ... + 198998585.

It is an arithmetic number, because the mean of its divisors is an integer number (29523283200).

Almost surely, 2^{2433080955144} is an apocalyptic number.

2433080955144 is a gapful number since it is divisible by the number (24) 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 2433080955144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3778980249600).

2433080955144 is an abundant number, since it is smaller than the sum of its proper divisors (5124879544056).

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

2433080955144 is a wasteful number, since it uses less digits than its factorization.

2433080955144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14304 (or 14300 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 2433080955144 in words is "two trillion, four hundred thirty-three billion, eighty million, nine hundred fifty-five thousand, one hundred forty-four".