1047795114240 has 1296 divisors, whose sum is σ = 4503444774192. Its totient is φ = 223481954304.

The previous prime is 1047795114229. The next prime is 1047795114281. The reversal of 1047795114240 is 424115977401.

1047795114240 is a `hidden beast` number, since 1 + 0 + 47 + 79 + 511 + 4 + 24 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 13359661056 + 1034435453184 = 115584^2 + 1017072^2 .

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

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, 1314673522 + ... + 1314674318.

It is an arithmetic number, because the mean of its divisors is an integer number (3474880227).

Almost surely, 2^{1047795114240} is an apocalyptic number.

1047795114240 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 1047795114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2251722387096).

1047795114240 is an abundant number, since it is smaller than the sum of its proper divisors (3455649659952).

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

1047795114240 is a wasteful number, since it uses less digits than its factorization.

1047795114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 1047795114240 in words is "one trillion, forty-seven billion, seven hundred ninety-five million, one hundred fourteen thousand, two hundred forty".