10461480854400 has 288 divisors, whose sum is σ = 37335039147120. Its totient is φ = 2789274009600.

The previous prime is 10461480854381. The next prime is 10461480854423. The reversal of 10461480854400 is 445808416401.

10461480854400 is a `hidden beast` number, since 1 + 0 + 4 + 61 + 48 + 0 + 8 + 544 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 200450709 + ... + 200502891.

Almost surely, 2^{10461480854400} is an apocalyptic number.

10461480854400 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 10461480854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18667519573560).

10461480854400 is an abundant number, since it is smaller than the sum of its proper divisors (26873558292720).

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

10461480854400 is a wasteful number, since it uses less digits than its factorization.

10461480854400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59174 (or 59154 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 10461480854400 in words is "ten trillion, four hundred sixty-one billion, four hundred eighty million, eight hundred fifty-four thousand, four hundred".