10450049122800 has 960 divisors, whose sum is σ = 44306182635520. Its totient is φ = 2289036672000.

The previous prime is 10450049122739. The next prime is 10450049122813. The reversal of 10450049122800 is 822194005401.

10450049122800 is a `hidden beast` number, since 1 + 0 + 450 + 0 + 4 + 9 + 122 + 80 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 241369155 + ... + 241412445.

Almost surely, 2^{10450049122800} is an apocalyptic number.

10450049122800 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 10450049122800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22153091317760).

10450049122800 is an abundant number, since it is smaller than the sum of its proper divisors (33856133512720).

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

10450049122800 is a wasteful number, since it uses less digits than its factorization.

10450049122800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43459 (or 43442 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 10450049122800 in words is "ten trillion, four hundred fifty billion, forty-nine million, one hundred twenty-two thousand, eight hundred".