1311436406034 has 224 divisors, whose sum is σ = 3177147649536. Its totient is φ = 404311564800.

The previous prime is 1311436406009. The next prime is 1311436406069. The reversal of 1311436406034 is 4306046341131.

1311436406034 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 4 + 3 + 6 + 40 + 603 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1311436406034.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1008021184 + ... + 1008022484.

It is an arithmetic number, because the mean of its divisors is an integer number (14183694864).

Almost surely, 2^{1311436406034} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311436406034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588573824768).

1311436406034 is an abundant number, since it is smaller than the sum of its proper divisors (1865711243502).

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

1311436406034 is a wasteful number, since it uses less digits than its factorization.

1311436406034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2012 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 1311436406034 in words is "one trillion, three hundred eleven billion, four hundred thirty-six million, four hundred six thousand, thirty-four".