1044172040400 has 360 divisors, whose sum is σ = 3703836689280. Its totient is φ = 272343951360.

The previous prime is 1044172040389. The next prime is 1044172040437. The reversal of 1044172040400 is 40402714401.

1044172040400 is a `hidden beast` number, since 1 + 0 + 4 + 417 + 204 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30413644 + ... + 30447956.

It is an arithmetic number, because the mean of its divisors is an integer number (10288435248).

Almost surely, 2^{1044172040400} is an apocalyptic number.

1044172040400 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 1044172040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1851918344640).

1044172040400 is an abundant number, since it is smaller than the sum of its proper divisors (2659664648880).

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

1044172040400 is a wasteful number, since it uses less digits than its factorization.

1044172040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34523 (or 34509 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

Adding to 1044172040400 its reverse (40402714401), we get a palindrome (1084574754801).

The spelling of 1044172040400 in words is "one trillion, forty-four billion, one hundred seventy-two million, forty thousand, four hundred".