334143114314040 has 128 divisors (see below), whose sum is σ = 1140976488052800. Its totient is φ = 86931541923840.

The previous prime is 334143114313961. The next prime is 334143114314071. The reversal of 334143114314040 is 40413411341433.

334143114314040 is a `hidden beast` number, since 3 + 3 + 4 + 1 + 431 + 1 + 43 + 140 + 40 = 666.

It is a super-2 number, since 2×334143114314040² (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 = 334143114313986 and 334143114314004.

It is a congruent number.

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, 3773026117 + ... + 3773114676.

Almost surely, 2^{334143114314040} is an apocalyptic number.

334143114314040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

334143114314040 is an abundant number, since it is smaller than the sum of its proper divisors (806833373738760).

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

334143114314040 is a wasteful number, since it uses less digits than its factorization.

334143114314040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7546140854 (or 7546140844 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 334143114314040 its reverse (40413411341433), we get a palindrome (374556525655473).

The spelling of 334143114314040 in words is "three hundred thirty-four trillion, one hundred forty-three billion, one hundred fourteen million, three hundred fourteen thousand, forty".