3402101430431 has 128 divisors (see below), whose sum is σ = 4152369070080. Its totient is φ = 2755572019200.

The previous prime is 3402101430349. The next prime is 3402101430439. The reversal of 3402101430431 is 1340341012043.

It is a happy number.

It is not a de Polignac number, because 3402101430431 - 2¹⁰ = 3402101429407 is a prime.

It is a super-2 number, since 2×3402101430431² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3402101430431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3402101430439) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3299806886 + ... + 3299807916.

It is an arithmetic number, because the mean of its divisors is an integer number (32440383360).

Almost surely, 2^{3402101430431} is an apocalyptic number.

3402101430431 is a deficient number, since it is larger than the sum of its proper divisors (750267639649).

3402101430431 is a wasteful number, since it uses less digits than its factorization.

3402101430431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317.

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 3402101430431 its reverse (1340341012043), we get a palindrome (4742442442474).

The spelling of 3402101430431 in words is "three trillion, four hundred two billion, one hundred one million, four hundred thirty thousand, four hundred thirty-one".