102304431042440 has 256 divisors, whose sum is σ = 254894884992000. Its totient is φ = 36951323059200.

The previous prime is 102304431042397. The next prime is 102304431042487. The reversal of 102304431042440 is 44240134403201.

It is a super-2 number, since 2×102304431042440² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102304431042397 and 102304431042406.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5254725026 + ... + 5254744494.

It is an arithmetic number, because the mean of its divisors is an integer number (995683144500).

Almost surely, 2^{102304431042440} is an apocalyptic number.

102304431042440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102304431042440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127447442496000).

102304431042440 is an abundant number, since it is smaller than the sum of its proper divisors (152590453949560).

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

102304431042440 is a wasteful number, since it uses less digits than its factorization.

102304431042440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20173 (or 20147 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 102304431042440 its reverse (44240134403201), we get a palindrome (146544565445641).

The spelling of 102304431042440 in words is "one hundred two trillion, three hundred four billion, four hundred thirty-one million, forty-two thousand, four hundred forty".