1284760490496 has 640 divisors, whose sum is σ = 4221655511040. Its totient is φ = 339075072000.

The previous prime is 1284760490473. The next prime is 1284760490509. The reversal of 1284760490496 is 6940940674821.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1464948810 + ... + 1464949686.

It is an arithmetic number, because the mean of its divisors is an integer number (6596336736).

Almost surely, 2^{1284760490496} is an apocalyptic number.

1284760490496 is a gapful number since it is divisible by the number (16) 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 1284760490496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2110827755520).

1284760490496 is an abundant number, since it is smaller than the sum of its proper divisors (2936895020544).

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

1284760490496 is a wasteful number, since it uses less digits than its factorization.

1284760490496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 1284760490496 in words is "one trillion, two hundred eighty-four billion, seven hundred sixty million, four hundred ninety thousand, four hundred ninety-six".