4094399400 has 768 divisors, whose sum is σ = 16798924800. Its totient is φ = 801792000.

The previous prime is 4094399383. The next prime is 4094399401. The reversal of 4094399400 is 49934904.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (4094399401) 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, 69396571 + ... + 69396629.

It is an arithmetic number, because the mean of its divisors is an integer number (21873600).

Almost surely, 2^4094399400 is an apocalyptic number.

4094399400 is a gapful number since it is divisible by the number (40) 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 4094399400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8399462400).

4094399400 is an abundant number, since it is smaller than the sum of its proper divisors (12704525400).

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

4094399400 is a wasteful number, since it uses less digits than its factorization.

4094399400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 4094399400 is about 63987.4940906424. The cubic root of 4094399400 is about 1599.7915613887.

The spelling of 4094399400 in words is "four billion, ninety-four million, three hundred ninety-nine thousand, four hundred".