4195089400 has 48 divisors (see below), whose sum is σ = 9830442240. Its totient is φ = 1664812800.

The previous prime is 4195089391. The next prime is 4195089427. The reversal of 4195089400 is 49805914.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57181 + ... + 107980.

It is an arithmetic number, because the mean of its divisors is an integer number (204800880).

It is the magic constant of a 2032 × 2032 magic square.

Almost surely, 2^4195089400 is an apocalyptic number.

4195089400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4195089400 is an abundant number, since it is smaller than the sum of its proper divisors (5635352840).

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

4195089400 is a wasteful number, since it uses less digits than its factorization.

4195089400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165304 (or 165295 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The square root of 4195089400 is about 64769.5098020666. The cubic root of 4195089400 is about 1612.7995989999.

The spelling of 4195089400 in words is "four billion, one hundred ninety-five million, eighty-nine thousand, four hundred".