240413133044400 has 120 divisors (see below), whose sum is σ = 770149711430400. Its totient is φ = 64107978712320.

The previous prime is 240413133044393. The next prime is 240413133044437. The reversal of 240413133044400 is 4440331314042.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31871469 + ... + 38686131.

It is an arithmetic number, because the mean of its divisors is an integer number (6417914261920).

Almost surely, 2^{240413133044400} is an apocalyptic number.

240413133044400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240413133044400 is an abundant number, since it is smaller than the sum of its proper divisors (529736578386000).

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

240413133044400 is a wasteful number, since it uses less digits than its factorization.

240413133044400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6844083 (or 6844072 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 240413133044400 its reverse (4440331314042), we get a palindrome (244853464358442).

The spelling of 240413133044400 in words is "two hundred forty trillion, four hundred thirteen billion, one hundred thirty-three million, forty-four thousand, four hundred".