4294391400 has 432 divisors, whose sum is σ = 16460776800. Its totient is φ = 1000097280.

The previous prime is 4294391389. The next prime is 4294391401. The reversal of 4294391400 is 41934924.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4294391401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5779429 + ... + 5780171.

It is an arithmetic number, because the mean of its divisors is an integer number (38103650).

Almost surely, 2^4294391400 is an apocalyptic number.

4294391400 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 4294391400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8230388400).

4294391400 is an abundant number, since it is smaller than the sum of its proper divisors (12166385400).

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

4294391400 is a wasteful number, since it uses less digits than its factorization.

4294391400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4294391400 is about 65531.6061149122. The cubic root of 4294391400 is about 1625.4260216347.

The spelling of 4294391400 in words is "four billion, two hundred ninety-four million, three hundred ninety-one thousand, four hundred".