1045779920640 has 2592 divisors, whose sum is σ = 4905354033216. Its totient is φ = 203135385600.

The previous prime is 1045779920621. The next prime is 1045779920651. The reversal of 1045779920640 is 460299775401.

1045779920640 is a `hidden beast` number, since 1 + 0 + 4 + 577 + 9 + 9 + 2 + 0 + 64 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10354256590 + ... + 10354256690.

It is an arithmetic number, because the mean of its divisors is an integer number (1892497698).

Almost surely, 2^{1045779920640} is an apocalyptic number.

1045779920640 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 1045779920640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2452677016608).

1045779920640 is an abundant number, since it is smaller than the sum of its proper divisors (3859574112576).

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

1045779920640 is a wasteful number, since it uses less digits than its factorization.

1045779920640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 1045779920640 in words is "one trillion, forty-five billion, seven hundred seventy-nine million, nine hundred twenty thousand, six hundred forty".