819901451400 has 96 divisors (see below), whose sum is σ = 2583361737600. Its totient is φ = 215056108800.

The previous prime is 819901451381. The next prime is 819901451443. The reversal of 819901451400 is 4154109918.

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 23 ways as a sum of consecutive naturals, for example, 11164240 + ... + 11237439.

It is an arithmetic number, because the mean of its divisors is an integer number (26910018100).

Almost surely, 2^819901451400 is an apocalyptic number.

It is an amenable number.

819901451400 is an abundant number, since it is smaller than the sum of its proper divisors (1763460286200).

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

819901451400 is a wasteful number, since it uses less digits than its factorization.

819901451400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22401759 (or 22401750 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 42.

The spelling of 819901451400 in words is "eight hundred nineteen billion, nine hundred one million, four hundred fifty-one thousand, four hundred".