1284363557400 has 768 divisors, whose sum is σ = 5290221404160. Its totient is φ = 249836083200.

The previous prime is 1284363557387. The next prime is 1284363557413. The reversal of 1284363557400 is 47553634821.

It is an interprime number because it is at equal distance from previous prime (1284363557387) and next prime (1284363557413).

It is a self number, because there is not a number n which added to its sum of digits gives 1284363557400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 49929342 + ... + 49955058.

It is an arithmetic number, because the mean of its divisors is an integer number (6888309120).

Almost surely, 2^{1284363557400} is an apocalyptic number.

1284363557400 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 1284363557400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2645110702080).

1284363557400 is an abundant number, since it is smaller than the sum of its proper divisors (4005857846760).

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

1284363557400 is a wasteful number, since it uses less digits than its factorization.

1284363557400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25824 (or 25815 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 1284363557400 in words is "one trillion, two hundred eighty-four billion, three hundred sixty-three million, five hundred fifty-seven thousand, four hundred".