1035250444800 has 2160 divisors, whose sum is σ = 4559810575320. Its totient is φ = 222540595200.

The previous prime is 1035250444783. The next prime is 1035250444841. The reversal of 1035250444800 is 84440525301.

It is a happy number.

1035250444800 is a `hidden beast` number, since 1 + 0 + 35 + 2 + 504 + 44 + 80 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 148971297024 + 886279147776 = 385968^2 + 941424^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 5255078302 + ... + 5255078498.

Almost surely, 2^{1035250444800} is an apocalyptic number.

1035250444800 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 1035250444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2279905287660).

1035250444800 is an abundant number, since it is smaller than the sum of its proper divisors (3524560130520).

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

1035250444800 is a wasteful number, since it uses less digits than its factorization.

1035250444800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 1035250444800 in words is "one trillion, thirty-five billion, two hundred fifty million, four hundred forty-four thousand, eight hundred".