1078233710400 has 2268 divisors, whose sum is σ = 4995928701036. Its totient is φ = 219702067200.

The previous prime is 1078233710387. The next prime is 1078233710419. The reversal of 1078233710400 is 40173328701.

1078233710400 is a `hidden beast` number, since 1 + 0 + 7 + 8 + 233 + 7 + 10 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 18701109504 + 1059532600896 = 136752^2 + 1029336^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 6232564714 + ... + 6232564886.

Almost surely, 2^{1078233710400} is an apocalyptic number.

1078233710400 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 1078233710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2497964350518).

1078233710400 is an abundant number, since it is smaller than the sum of its proper divisors (3917694990636).

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

1078233710400 is a wasteful number, since it uses less digits than its factorization.

1078233710400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 1078233710400 in words is "one trillion, seventy-eight billion, two hundred thirty-three million, seven hundred ten thousand, four hundred".