10040431445310 has 192 divisors, whose sum is σ = 29810908493568. Its totient is φ = 2150441911296.

The previous prime is 10040431445309. The next prime is 10040431445357. The reversal of 10040431445310 is 1354413404001.

It is a super-2 number, since 2×10040431445310² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4787757 + ... + 6557703.

It is an arithmetic number, because the mean of its divisors is an integer number (155265148404).

Almost surely, 2^{10040431445310} is an apocalyptic number.

10040431445310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10040431445310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14905454246784).

10040431445310 is an abundant number, since it is smaller than the sum of its proper divisors (19770477048258).

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

10040431445310 is a wasteful number, since it uses less digits than its factorization.

10040431445310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1770215 (or 1770208 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 10040431445310 its reverse (1354413404001), we get a palindrome (11394844849311).

The spelling of 10040431445310 in words is "ten trillion, forty billion, four hundred thirty-one million, four hundred forty-five thousand, three hundred ten".