1045401840000 has 960 divisors, whose sum is σ = 4435376225280. Its totient is φ = 231206400000.

The previous prime is 1045401839983. The next prime is 1045401840001. The reversal of 1045401840000 is 481045401.

It is a happy number.

1045401840000 is a `hidden beast` number, since 104 + 540 + 18 + 4 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1045401840001) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 156236655 + ... + 156243345.

It is an arithmetic number, because the mean of its divisors is an integer number (4620183568).

Almost surely, 2^{1045401840000} is an apocalyptic number.

1045401840000 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 1045401840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2217688112640).

1045401840000 is an abundant number, since it is smaller than the sum of its proper divisors (3389974385280).

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

1045401840000 is an equidigital number, since it uses as much as digits as its factorization.

1045401840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6769 (or 6739 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 1045401840000 its reverse (481045401), we get a palindrome (1045882885401).

The spelling of 1045401840000 in words is "one trillion, forty-five billion, four hundred one million, eight hundred forty thousand".