1000378321800 has 384 divisors, whose sum is σ = 3768977520000. Its totient is φ = 216141004800.

The previous prime is 1000378321781. The next prime is 1000378321823. The reversal of 1000378321800 is 81238730001.

1000378321800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 2287176 + ... + 2689224.

It is an arithmetic number, because the mean of its divisors is an integer number (9815045625).

Almost surely, 2^{1000378321800} is an apocalyptic number.

1000378321800 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 1000378321800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1884488760000).

1000378321800 is an abundant number, since it is smaller than the sum of its proper divisors (2768599198200).

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

1000378321800 is a wasteful number, since it uses less digits than its factorization.

1000378321800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402121 (or 402112 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 1000378321800 in words is "one trillion, three hundred seventy-eight million, three hundred twenty-one thousand, eight hundred".