38131400413183 has 24 divisors (see below), whose sum is σ = 48582170388864. Its totient is φ = 29594401830000.

The previous prime is 38131400413157. The next prime is 38131400413187.

38131400413183 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 38131400413183 - 2⁴⁵ = 2947028324351 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38131400413187) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140790435 + ... + 141061012.

It is an arithmetic number, because the mean of its divisors is an integer number (2024257099536).

Almost surely, 2^{38131400413183} is an apocalyptic number.

38131400413183 is a deficient number, since it is larger than the sum of its proper divisors (10450769975681).

38131400413183 is a wasteful number, since it uses less digits than its factorization.

38131400413183 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281851723 (or 281851716 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

It can be divided in two parts, 38131400 and 413183, that added together give a palindrome (38544583).

The spelling of 38131400413183 in words is "thirty-eight trillion, one hundred thirty-one billion, four hundred million, four hundred thirteen thousand, one hundred eighty-three".