431414126682 has 128 divisors (see below), whose sum is σ = 1097998571520. Its totient is φ = 109759964160.

The previous prime is 431414126653. The next prime is 431414126687. The reversal of 431414126682 is 286621414134.

It is a super-2 number, since 2×431414126682² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (431414126687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4350598 + ... + 4448654.

It is an arithmetic number, because the mean of its divisors is an integer number (8578113840).

Almost surely, 2^431414126682 is an apocalyptic number.

431414126682 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 431414126682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548999285760).

431414126682 is an abundant number, since it is smaller than the sum of its proper divisors (666584444838).

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

431414126682 is a wasteful number, since it uses less digits than its factorization.

431414126682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98276.

The product of its digits is 221184, while the sum is 42.

It can be divided in two parts, 431414 and 126682, that added together give a triangular number (558096 = T₁₀₅₆).

The spelling of 431414126682 in words is "four hundred thirty-one billion, four hundred fourteen million, one hundred twenty-six thousand, six hundred eighty-two".