1382042694400 has 864 divisors, whose sum is σ = 3862912757760. Its totient is φ = 487686144000.

The previous prime is 1382042694281. The next prime is 1382042694421. The reversal of 1382042694400 is 44962402831.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15528569556 + ... + 15528569644.

It is an arithmetic number, because the mean of its divisors is an integer number (4470963840).

Almost surely, 2^{1382042694400} is an apocalyptic number.

1382042694400 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 1382042694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1931456378880).

1382042694400 is an abundant number, since it is smaller than the sum of its proper divisors (2480870063360).

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

1382042694400 is a wasteful number, since it uses less digits than its factorization.

1382042694400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 43.

The spelling of 1382042694400 in words is "one trillion, three hundred eighty-two billion, forty-two million, six hundred ninety-four thousand, four hundred".