4076364400 has 60 divisors (see below), whose sum is σ = 9850242312. Its totient is φ = 1621093120.

The previous prime is 4076364389. The next prime is 4076364491. The reversal of 4076364400 is 44636704.

4076364400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 39747 + ... + 98653.

Almost surely, 2^4076364400 is an apocalyptic number.

4076364400 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 4076364400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4925121156).

4076364400 is an abundant number, since it is smaller than the sum of its proper divisors (5773877912).

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

4076364400 is a wasteful number, since it uses less digits than its factorization.

4076364400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59098 (or 59087 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 34.

The square root of 4076364400 is about 63846.4125852033. The cubic root of 4076364400 is about 1597.4391848277.

The spelling of 4076364400 in words is "four billion, seventy-six million, three hundred sixty-four thousand, four hundred".