10121416994304 has 1440 divisors, whose sum is σ = 39422699357184. Its totient is φ = 2466453749760.

The previous prime is 10121416994237. The next prime is 10121416994321. The reversal of 10121416994304 is 40349961412101.

It is a happy number.

10121416994304 is a `hidden beast` number, since 1 + 0 + 12 + 141 + 69 + 9 + 430 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10121416994304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3027643257 + ... + 3027646599.

Almost surely, 2^{10121416994304} is an apocalyptic number.

10121416994304 is a gapful number since it is divisible by the number (14) 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 10121416994304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19711349678592).

10121416994304 is an abundant number, since it is smaller than the sum of its proper divisors (29301282362880).

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

10121416994304 is a wasteful number, since it uses less digits than its factorization.

10121416994304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3468 (or 3442 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 10121416994304 in words is "ten trillion, one hundred twenty-one billion, four hundred sixteen million, nine hundred ninety-four thousand, three hundred four".