1045412794080 has 288 divisors, whose sum is σ = 3879415560384. Its totient is φ = 255286591488.

The previous prime is 1045412794003. The next prime is 1045412794091. The reversal of 1045412794080 is 804972145401.

1045412794080 is a `hidden beast` number, since 1 + 0 + 4 + 541 + 27 + 9 + 4 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 328669 + ... + 1482851.

It is an arithmetic number, because the mean of its divisors is an integer number (13470192918).

Almost surely, 2^{1045412794080} is an apocalyptic number.

1045412794080 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 1045412794080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1939707780192).

1045412794080 is an abundant number, since it is smaller than the sum of its proper divisors (2834002766304).

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

1045412794080 is a wasteful number, since it uses less digits than its factorization.

1045412794080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154258 (or 1154247 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 1045412794080 in words is "one trillion, forty-five billion, four hundred twelve million, seven hundred ninety-four thousand, eighty".