233512042514440 has 128 divisors (see below), whose sum is σ = 559556512128000. Its totient is φ = 87454571920128.

The previous prime is 233512042514423. The next prime is 233512042514449. The reversal of 233512042514440 is 44415240215332.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 233512042514393 and 233512042514402.

It is not an unprimeable number, because it can be changed into a prime (233512042514449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16909197 + ... + 27439843.

It is an arithmetic number, because the mean of its divisors is an integer number (4371535251000).

Almost surely, 2^{233512042514440} is an apocalyptic number.

233512042514440 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 233512042514440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279778256064000).

233512042514440 is an abundant number, since it is smaller than the sum of its proper divisors (326044469613560).

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

233512042514440 is a wasteful number, since it uses less digits than its factorization.

233512042514440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10531019 (or 10531015 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 40.

Adding to 233512042514440 its reverse (44415240215332), we get a palindrome (277927282729772).

The spelling of 233512042514440 in words is "two hundred thirty-three trillion, five hundred twelve billion, forty-two million, five hundred fourteen thousand, four hundred forty".