13403400312042 has 144 divisors (see below), whose sum is σ = 31933738444608. Its totient is φ = 4060284433920.

The previous prime is 13403400312017. The next prime is 13403400312067. The reversal of 13403400312042 is 24021300430431.

13403400312042 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 340 + 0 + 312 + 0 + 4 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (13403400312017) and next prime (13403400312067).

It is a super-2 number, since 2×13403400312042² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13403400311997 and 13403400312015.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 381726067 + ... + 381761177.

It is an arithmetic number, because the mean of its divisors is an integer number (221762072532).

Almost surely, 2^{13403400312042} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13403400312042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15966869222304).

13403400312042 is an abundant number, since it is smaller than the sum of its proper divisors (18530338132566).

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

13403400312042 is a wasteful number, since it uses less digits than its factorization.

13403400312042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37085 (or 37069 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 13403400312042 its reverse (24021300430431), we get a palindrome (37424700742473).

The spelling of 13403400312042 in words is "thirteen trillion, four hundred three billion, four hundred million, three hundred twelve thousand, forty-two".