10453343846400 has 4320 divisors, whose sum is σ = 51394090567680. Its totient is φ = 2031636971520.

The previous prime is 10453343846389. The next prime is 10453343846419. The reversal of 10453343846400 is 464834335401.

10453343846400 is a `hidden beast` number, since 1 + 0 + 4 + 533 + 4 + 38 + 46 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 222411571177 + ... + 222411571223.

It is an arithmetic number, because the mean of its divisors is an integer number (11896780224).

Almost surely, 2^{10453343846400} is an apocalyptic number.

10453343846400 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 10453343846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25697045283840).

10453343846400 is an abundant number, since it is smaller than the sum of its proper divisors (40940746721280).

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

10453343846400 is a wasteful number, since it uses less digits than its factorization.

10453343846400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 10453343846400 in words is "ten trillion, four hundred fifty-three billion, three hundred forty-three million, eight hundred forty-six thousand, four hundred".