4096380400 has 240 divisors, whose sum is σ = 11662696000. Its totient is φ = 1381847040.

The previous prime is 4096380391. The next prime is 4096380427. The reversal of 4096380400 is 40836904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10015396 + ... + 10015804.

Almost surely, 2^4096380400 is an apocalyptic number.

4096380400 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 4096380400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5831348000).

4096380400 is an abundant number, since it is smaller than the sum of its proper divisors (7566315600).

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

4096380400 is a wasteful number, since it uses less digits than its factorization.

4096380400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 4096380400 is about 64002.9718060029. The cubic root of 4096380400 is about 1600.0495297167.

The spelling of 4096380400 in words is "four billion, ninety-six million, three hundred eighty thousand, four hundred".