4106056400 has 60 divisors (see below), whose sum is σ = 10026578124. Its totient is φ = 1615488000.

The previous prime is 4106056391. The next prime is 4106056411. The reversal of 4106056400 is 46506014.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 302620816 + 3803435584 = 17396^2 + 61672^2 .

It is a super-3 number, since 3×4106056400³ (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4106056400.

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, 59741 + ... + 108540.

Almost surely, 2^4106056400 is an apocalyptic number.

4106056400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4106056400 is an abundant number, since it is smaller than the sum of its proper divisors (5920521724).

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

4106056400 is a wasteful number, since it uses less digits than its factorization.

4106056400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168360 (or 168349 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 4106056400 is about 64078.5174610025. The cubic root of 4106056400 is about 1601.3083569181.

The spelling of 4106056400 in words is "four billion, one hundred six million, fifty-six thousand, four hundred".