1040623441200 has 1440 divisors, whose sum is σ = 4632764198400. Its totient is φ = 210571591680.

The previous prime is 1040623441199. The next prime is 1040623441211. The reversal of 1040623441200 is 21443260401.

It is a happy number.

1040623441200 is a `hidden beast` number, since 1 + 0 + 406 + 234 + 4 + 1 + 20 + 0 = 666.

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, 1408150431 + ... + 1408151169.

It is an arithmetic number, because the mean of its divisors is an integer number (3217197360).

Almost surely, 2^{1040623441200} is an apocalyptic number.

1040623441200 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 1040623441200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2316382099200).

1040623441200 is an abundant number, since it is smaller than the sum of its proper divisors (3592140757200).

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

1040623441200 is a wasteful number, since it uses less digits than its factorization.

1040623441200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 1040623441200 in words is "one trillion, forty billion, six hundred twenty-three million, four hundred forty-one thousand, two hundred".