10416843370400 has 72 divisors (see below), whose sum is σ = 25472574338400. Its totient is φ = 4159781000960.

The previous prime is 10416843370397. The next prime is 10416843370403. The reversal of 10416843370400 is 407334861401.

It is an interprime number because it is at equal distance from previous prime (10416843370397) and next prime (10416843370403).

It is a super-3 number, since 3×10416843370400³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10416843370403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10389794 + ... + 11348193.

It is an arithmetic number, because the mean of its divisors is an integer number (353785754700).

Almost surely, 2^{10416843370400} is an apocalyptic number.

10416843370400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10416843370400 is an abundant number, since it is smaller than the sum of its proper divisors (15055730968000).

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

10416843370400 is a wasteful number, since it uses less digits than its factorization.

10416843370400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21738606 (or 21738593 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 41.

The spelling of 10416843370400 in words is "ten trillion, four hundred sixteen billion, eight hundred forty-three million, three hundred seventy thousand, four hundred".