1047280407264 has 1920 divisors, whose sum is σ = 4152766464000. Its totient is φ = 256779694080.

The previous prime is 1047280407149. The next prime is 1047280407281. The reversal of 1047280407264 is 4627040827401.

1047280407264 is a `hidden beast` number, since 1 + 0 + 472 + 80 + 40 + 7 + 2 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 13256713977 + ... + 13256714055.

It is an arithmetic number, because the mean of its divisors is an integer number (2162899200).

Almost surely, 2^{1047280407264} is an apocalyptic number.

1047280407264 is a gapful number since it is divisible by the number (14) 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 1047280407264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2076383232000).

1047280407264 is an abundant number, since it is smaller than the sum of its proper divisors (3105486056736).

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

1047280407264 is a wasteful number, since it uses less digits than its factorization.

1047280407264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 1047280407264 in words is "one trillion, forty-seven billion, two hundred eighty million, four hundred seven thousand, two hundred sixty-four".