3400133412431 has 32 divisors (see below), whose sum is σ = 4216373775360. Its totient is φ = 2677613266944.

The previous prime is 3400133412419. The next prime is 3400133412439. The reversal of 3400133412431 is 1342143310043.

It is a happy number.

It is not a de Polignac number, because 3400133412431 - 2¹⁰ = 3400133411407 is a prime.

It is a super-2 number, since 2×3400133412431² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3400133412394 and 3400133412403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3400133412439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 985505 + ... + 2787738.

It is an arithmetic number, because the mean of its divisors is an integer number (131761680480).

Almost surely, 2^{3400133412431} is an apocalyptic number.

3400133412431 is a deficient number, since it is larger than the sum of its proper divisors (816240362929).

3400133412431 is a wasteful number, since it uses less digits than its factorization.

3400133412431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3773495.

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 3400133412431 its reverse (1342143310043), we get a palindrome (4742276722474).

The spelling of 3400133412431 in words is "three trillion, four hundred billion, one hundred thirty-three million, four hundred twelve thousand, four hundred thirty-one".