4893456110400 has 2520 divisors, whose sum is σ = 22387051288800. Its totient is φ = 1036435046400.

The previous prime is 4893456110371. The next prime is 4893456110423. The reversal of 4893456110400 is 40116543984.

4893456110400 is a `hidden beast` number, since 4 + 8 + 9 + 34 + 561 + 10 + 40 + 0 = 666.

It is a super-2 number, since 2×4893456110400² (a number of 26 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 4577601066 + ... + 4577602134.

Almost surely, 2^{4893456110400} is an apocalyptic number.

4893456110400 is a gapful number since it is divisible by the number (40) 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 4893456110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11193525644400).

4893456110400 is an abundant number, since it is smaller than the sum of its proper divisors (17493595178400).

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

4893456110400 is a wasteful number, since it uses less digits than its factorization.

4893456110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 4893456110400 in words is "four trillion, eight hundred ninety-three billion, four hundred fifty-six million, one hundred ten thousand, four hundred".