334131414404040 has 128 divisors (see below), whose sum is σ = 1215023325148800. Its totient is φ = 81001555004160.

The previous prime is 334131414404023. The next prime is 334131414404093. The reversal of 334131414404040 is 40404414131433.

334131414404040 is a `hidden beast` number, since 3 + 3 + 4 + 131 + 4 + 1 + 440 + 40 + 40 = 666.

It is a super-2 number, since 2×334131414404040² (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 = 334131414403986 and 334131414404004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14062758087 + ... + 14062781846.

It is an arithmetic number, because the mean of its divisors is an integer number (9492369727725).

Almost surely, 2^{334131414404040} is an apocalyptic number.

334131414404040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

334131414404040 is an abundant number, since it is smaller than the sum of its proper divisors (880891910744760).

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

334131414404040 is a wasteful number, since it uses less digits than its factorization.

334131414404040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28125539964 (or 28125539954 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 334131414404040 its reverse (40404414131433), we get a palindrome (374535828535473).

The spelling of 334131414404040 in words is "three hundred thirty-four trillion, one hundred thirty-one billion, four hundred fourteen million, four hundred four thousand, forty".