1294828416000 has 2112 divisors, whose sum is σ = 5839739243520. Its totient is φ = 279488102400.

The previous prime is 1294828415929. The next prime is 1294828416031. The reversal of 1294828416000 is 6148284921.

1294828416000 is a `hidden beast` number, since 1 + 2 + 9 + 482 + 8 + 4 + 160 + 0 + 0 = 666.

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

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, 4136831844 + ... + 4136832156.

Almost surely, 2^{1294828416000} is an apocalyptic number.

1294828416000 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 1294828416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2919869621760).

1294828416000 is an abundant number, since it is smaller than the sum of its proper divisors (4544910827520).

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

1294828416000 is an equidigital number, since it uses as much as digits as its factorization.

1294828416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 1294828416000 in words is "one trillion, two hundred ninety-four billion, eight hundred twenty-eight million, four hundred sixteen thousand".