1045115040024 has 192 divisors, whose sum is σ = 3195357984000. Its totient is φ = 305681160960.

The previous prime is 1045115040019. The next prime is 1045115040029. The reversal of 1045115040024 is 4200405115401.

1045115040024 is a `hidden beast` number, since 1 + 0 + 451 + 150 + 40 + 0 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (1045115040019) and next prime (1045115040029).

It is a self number, because there is not a number n which added to its sum of digits gives 1045115040024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1045115040029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99652909 + ... + 99663395.

It is an arithmetic number, because the mean of its divisors is an integer number (16642489500).

Almost surely, 2^{1045115040024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1045115040024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597678992000).

1045115040024 is an abundant number, since it is smaller than the sum of its proper divisors (2150242943976).

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

1045115040024 is a wasteful number, since it uses less digits than its factorization.

1045115040024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14878 (or 14871 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 1045115040024 in words is "one trillion, forty-five billion, one hundred fifteen million, forty thousand, twenty-four".