1045944921600 has 480 divisors, whose sum is σ = 3843996156000. Its totient is φ = 278565027840.

The previous prime is 1045944921587. The next prime is 1045944921617. The reversal of 1045944921600 is 61294495401.

1045944921600 is a `hidden beast` number, since 1 + 0 + 4 + 594 + 49 + 2 + 16 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×1045944921600³ (a number of 37 digits) contains 333 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 47 ways as a sum of consecutive naturals, for example, 383269036 + ... + 383271764.

It is an arithmetic number, because the mean of its divisors is an integer number (8008325325).

Almost surely, 2^{1045944921600} is an apocalyptic number.

1045944921600 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 1045944921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1921998078000).

1045944921600 is an abundant number, since it is smaller than the sum of its proper divisors (2798051234400).

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

1045944921600 is a wasteful number, since it uses less digits than its factorization.

1045944921600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3875 (or 3848 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 1045944921600 in words is "one trillion, forty-five billion, nine hundred forty-four million, nine hundred twenty-one thousand, six hundred".