233540413241440 has 48 divisors (see below), whose sum is σ = 554354104212720. Its totient is φ = 92973434641920.

The previous prime is 233540413241437. The next prime is 233540413241479. The reversal of 233540413241440 is 44142314045332.

It is a super-2 number, since 2×233540413241440² (a number of 30 digits) contains 22 as substring.

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 = 233540413241393 and 233540413241402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3458799375 + ... + 3458866894.

It is an arithmetic number, because the mean of its divisors is an integer number (11549043837765).

Almost surely, 2^{233540413241440} is an apocalyptic number.

233540413241440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233540413241440 is an abundant number, since it is smaller than the sum of its proper divisors (320813690971280).

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

233540413241440 is a wasteful number, since it uses less digits than its factorization.

233540413241440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6917666495 (or 6917666487 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 40.

Adding to 233540413241440 its reverse (44142314045332), we get a palindrome (277682727286772).

The spelling of 233540413241440 in words is "two hundred thirty-three trillion, five hundred forty billion, four hundred thirteen million, two hundred forty-one thousand, four hundred forty".