10354431130416 has 240 divisors, whose sum is σ = 29717706695040. Its totient is φ = 3364016947200.

The previous prime is 10354431130349. The next prime is 10354431130427. The reversal of 10354431130416 is 61403113445301.

10354431130416 is a `hidden beast` number, since 1 + 0 + 3 + 54 + 431 + 130 + 41 + 6 = 666.

It is a super-3 number, since 3×10354431130416³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1826497630 + ... + 1826503298.

It is an arithmetic number, because the mean of its divisors is an integer number (123823777896).

Almost surely, 2^{10354431130416} is an apocalyptic number.

10354431130416 is a gapful number since it is divisible by the number (16) 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 10354431130416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14858853347520).

10354431130416 is an abundant number, since it is smaller than the sum of its proper divisors (19363275564624).

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

10354431130416 is a wasteful number, since it uses less digits than its factorization.

10354431130416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6804 (or 6795 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 10354431130416 its reverse (61403113445301), we get a palindrome (71757544575717).

The spelling of 10354431130416 in words is "ten trillion, three hundred fifty-four billion, four hundred thirty-one million, one hundred thirty thousand, four hundred sixteen".