1578438800400 has 960 divisors, whose sum is σ = 6769222742016. Its totient is φ = 304324608000.

The previous prime is 1578438800387. The next prime is 1578438800401. The reversal of 1578438800400 is 40088348751.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1578438800400.

It is not an unprimeable number, because it can be changed into a prime (1578438800401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 111519724 + ... + 111533876.

Almost surely, 2^{1578438800400} is an apocalyptic number.

1578438800400 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 1578438800400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3384611371008).

1578438800400 is an abundant number, since it is smaller than the sum of its proper divisors (5190783941616).

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

1578438800400 is a wasteful number, since it uses less digits than its factorization.

1578438800400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14280 (or 14269 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The spelling of 1578438800400 in words is "one trillion, five hundred seventy-eight billion, four hundred thirty-eight million, eight hundred thousand, four hundred".