4096760400 has 180 divisors, whose sum is σ = 14707509180. Its totient is φ = 1054771200.

The previous prime is 4096760389. The next prime is 4096760401. The reversal of 4096760400 is 40676904.

4096760400 is a `hidden beast` number, since 40 + 9 + 6 + 7 + 604 + 0 + 0 = 666.

4096760400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 283450896 + 3813309504 = 16836^2 + 61752^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 (4096760401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 84780 + ... + 124020.

Almost surely, 2^4096760400 is an apocalyptic number.

4096760400 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 4096760400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7353754590).

4096760400 is an abundant number, since it is smaller than the sum of its proper divisors (10610748780).

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

4096760400 is a wasteful number, since it uses less digits than its factorization.

4096760400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39294 (or 39280 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 4096760400 is about 64005.9403493145. The cubic root of 4096760400 is about 1600.0990042904.

The spelling of 4096760400 in words is "four billion, ninety-six million, seven hundred sixty thousand, four hundred".