1004110094400 has 672 divisors, whose sum is σ = 3839508541440. Its totient is φ = 225003847680.

The previous prime is 1004110094371. The next prime is 1004110094419. The reversal of 1004110094400 is 44900114001.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×1004110094400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 439050057 + ... + 439052343.

Almost surely, 2^{1004110094400} is an apocalyptic number.

1004110094400 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 1004110094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1919754270720).

1004110094400 is an abundant number, since it is smaller than the sum of its proper divisors (2835398447040).

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

1004110094400 is a wasteful number, since it uses less digits than its factorization.

1004110094400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2571 (or 2556 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 1004110094400 in words is "one trillion, four billion, one hundred ten million, ninety-four thousand, four hundred".