1268993246400 has 504 divisors, whose sum is σ = 5013198603504. Its totient is φ = 301828300800.

The previous prime is 1268993246399. The next prime is 1268993246449. The reversal of 1268993246400 is 46423998621.

1268993246400 is a `hidden beast` number, since 1 + 2 + 68 + 99 + 32 + 464 + 0 + 0 = 666.

It is a super-2 number, since 2×1268993246400² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8319622 + ... + 8470778.

It is an arithmetic number, because the mean of its divisors is an integer number (9946822626).

Almost surely, 2^{1268993246400} is an apocalyptic number.

1268993246400 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 1268993246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2506599301752).

1268993246400 is an abundant number, since it is smaller than the sum of its proper divisors (3744205357104).

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

1268993246400 is a wasteful number, since it uses less digits than its factorization.

1268993246400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151249 (or 151231 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 1268993246400 in words is "one trillion, two hundred sixty-eight billion, nine hundred ninety-three million, two hundred forty-six thousand, four hundred".