233253320401440 has 120 divisors (see below), whose sum is σ = 823189843295820. Its totient is φ = 62200885436928.

The previous prime is 233253320401403. The next prime is 233253320401487. The reversal of 233253320401440 is 44104023352332.

233253320401440 is a `hidden beast` number, since 2 + 3 + 3 + 2 + 5 + 3 + 3 + 204 + 0 + 1 + 440 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 217922430742416 + 15330889659024 = 14762196^2 + 3915468^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×233253320401440² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 233253320401395 and 233253320401404.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8998957735 + ... + 8998983654.

Almost surely, 2^{233253320401440} is an apocalyptic number.

233253320401440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233253320401440 is an abundant number, since it is smaller than the sum of its proper divisors (589936522894380).

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

233253320401440 is a wasteful number, since it uses less digits than its factorization.

233253320401440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17997941416 (or 17997941399 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

Adding to 233253320401440 its reverse (44104023352332), we get a palindrome (277357343753772).

The spelling of 233253320401440 in words is "two hundred thirty-three trillion, two hundred fifty-three billion, three hundred twenty million, four hundred one thousand, four hundred forty".