10541048918400 has 1920 divisors, whose sum is σ = 52229029628160. Its totient is φ = 2021809766400.

The previous prime is 10541048918363. The next prime is 10541048918417. The reversal of 10541048918400 is 481984014501.

10541048918400 is a `hidden beast` number, since 1 + 0 + 54 + 104 + 8 + 91 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×10541048918400² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 259438887 + ... + 259479513.

It is an arithmetic number, because the mean of its divisors is an integer number (27202619598).

Almost surely, 2^{10541048918400} is an apocalyptic number.

10541048918400 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 10541048918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26114514814080).

10541048918400 is an abundant number, since it is smaller than the sum of its proper divisors (41687980709760).

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

10541048918400 is a wasteful number, since it uses less digits than its factorization.

10541048918400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40694 (or 40668 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 10541048918400 in words is "ten trillion, five hundred forty-one billion, forty-eight million, nine hundred eighteen thousand, four hundred".