4056346404 has 432 divisors, whose sum is σ = 13312555200. Its totient is φ = 1060646400.

The previous prime is 4056346379. The next prime is 4056346409. The reversal of 4056346404 is 4046436504.

4056346404 is a `hidden beast` number, since 4 + 0 + 5 + 6 + 3 + 4 + 640 + 4 = 666.

It is a super-2 number, since 2×4056346404² = 32907892298487462432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4056346409) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 130849869 + ... + 130849899.

It is an arithmetic number, because the mean of its divisors is an integer number (30816100).

Almost surely, 2^4056346404 is an apocalyptic number.

4056346404 is a gapful number since it is divisible by the number (44) 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 4056346404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6656277600).

4056346404 is an abundant number, since it is smaller than the sum of its proper divisors (9256208796).

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

4056346404 is a wasteful number, since it uses less digits than its factorization.

4056346404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 4056346404 is about 63689.4528473907. The cubic root of 4056346404 is about 1594.8200193270.

The spelling of 4056346404 in words is "four billion, fifty-six million, three hundred forty-six thousand, four hundred four".