10461366367200 has 2520 divisors, whose sum is σ = 46302118099776. Its totient is φ = 2304433152000.

The previous prime is 10461366367189. The next prime is 10461366367201. The reversal of 10461366367200 is 276366316401.

10461366367200 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 1 + 3 + 6 + 636 + 7 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10461366367201) by changing a digit.

It is a polite number, since it can be written in 419 ways as a sum of consecutive naturals, for example, 43408159080 + ... + 43408159320.

Almost surely, 2^{10461366367200} is an apocalyptic number.

10461366367200 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 10461366367200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23151059049888).

10461366367200 is an abundant number, since it is smaller than the sum of its proper divisors (35840751732576).

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

10461366367200 is an frugal number, since it uses more digits than its factorization.

10461366367200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 10461366367200 in words is "ten trillion, four hundred sixty-one billion, three hundred sixty-six million, three hundred sixty-seven thousand, two hundred".