10646120740400 has 120 divisors (see below), whose sum is σ = 26691710267040. Its totient is φ = 4072939960320.

The previous prime is 10646120740363. The next prime is 10646120740447. The reversal of 10646120740400 is 404702164601.

It is a super-2 number, since 2×10646120740400² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119859206 + ... + 119947994.

It is an arithmetic number, because the mean of its divisors is an integer number (222430918892).

Almost surely, 2^{10646120740400} is an apocalyptic number.

10646120740400 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 10646120740400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13345855133520).

10646120740400 is an abundant number, since it is smaller than the sum of its proper divisors (16045589526640).

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

10646120740400 is a wasteful number, since it uses less digits than its factorization.

10646120740400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101863 (or 101852 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The spelling of 10646120740400 in words is "ten trillion, six hundred forty-six billion, one hundred twenty million, seven hundred forty thousand, four hundred".