1045131384780 has 288 divisors, whose sum is σ = 3647430259200. Its totient is φ = 237287522304.

The previous prime is 1045131384761. The next prime is 1045131384811. The reversal of 1045131384780 is 874831315401.

1045131384780 is a `hidden beast` number, since 1 + 0 + 4 + 513 + 13 + 8 + 47 + 80 = 666.

It is a super-2 number, since 2×1045131384780² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 260045611 + ... + 260049629.

It is an arithmetic number, because the mean of its divisors is an integer number (12664688400).

Almost surely, 2^{1045131384780} is an apocalyptic number.

1045131384780 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 1045131384780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1823715129600).

1045131384780 is an abundant number, since it is smaller than the sum of its proper divisors (2602298874420).

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

1045131384780 is a wasteful number, since it uses less digits than its factorization.

1045131384780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5373 (or 5368 counting only the distinct ones).

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

The spelling of 1045131384780 in words is "one trillion, forty-five billion, one hundred thirty-one million, three hundred eighty-four thousand, seven hundred eighty".