1045556598240 has 864 divisors, whose sum is σ = 4563885441024. Its totient is φ = 215527495680.

The previous prime is 1045556598211. The next prime is 1045556598257. The reversal of 1045556598240 is 428956555401.

1045556598240 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 5 + 5 + 6 + 598 + 2 + 40 = 666.

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 143 ways as a sum of consecutive naturals, for example, 98567017 + ... + 98577623.

It is an arithmetic number, because the mean of its divisors is an integer number (5282274816).

Almost surely, 2^{1045556598240} is an apocalyptic number.

1045556598240 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 1045556598240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2281942720512).

1045556598240 is an abundant number, since it is smaller than the sum of its proper divisors (3518328842784).

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

1045556598240 is a wasteful number, since it uses less digits than its factorization.

1045556598240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10780 (or 10762 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 54.

The spelling of 1045556598240 in words is "one trillion, forty-five billion, five hundred fifty-six million, five hundred ninety-eight thousand, two hundred forty".