4077296406 has 64 divisors (see below), whose sum is σ = 9173399040. Its totient is φ = 1342262880.

The previous prime is 4077296381. The next prime is 4077296407. The reversal of 4077296406 is 6046927704.

4077296406 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 is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4077296407) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2730196 + ... + 2731688.

It is an arithmetic number, because the mean of its divisors is an integer number (143334360).

Almost surely, 2^4077296406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4077296406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4586699520).

4077296406 is an abundant number, since it is smaller than the sum of its proper divisors (5096102634).

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

4077296406 is a wasteful number, since it uses less digits than its factorization.

4077296406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2098 (or 2092 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 4077296406 is about 63853.7109806470. The cubic root of 4077296406 is about 1597.5609198924.

The spelling of 4077296406 in words is "four billion, seventy-seven million, two hundred ninety-six thousand, four hundred six".