10431142433040 has 80 divisors (see below), whose sum is σ = 36956047483008. Its totient is φ = 2384261127168.

The previous prime is 10431142433021. The next prime is 10431142433059. The reversal of 10431142433040 is 4033424113401.

It is an interprime number because it is at equal distance from previous prime (10431142433021) and next prime (10431142433059).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10431142432989 and 10431142433007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3104504997 + ... + 3104508356.

Almost surely, 2^{10431142433040} is an apocalyptic number.

10431142433040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10431142433040 is an abundant number, since it is smaller than the sum of its proper divisors (26524905049968).

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

10431142433040 is a wasteful number, since it uses less digits than its factorization.

10431142433040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6209013376 (or 6209013370 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 10431142433040 its reverse (4033424113401), we get a palindrome (14464566546441).

The spelling of 10431142433040 in words is "ten trillion, four hundred thirty-one billion, one hundred forty-two million, four hundred thirty-three thousand, forty".