4106366400 has 168 divisors, whose sum is σ = 13560602800. Its totient is φ = 1087856640.

The previous prime is 4106366351. The next prime is 4106366413. The reversal of 4106366400 is 46636014.

It is a super-2 number, since 2×4106366400² = 33724490022097920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 750876 + ... + 756324.

Almost surely, 2^4106366400 is an apocalyptic number.

4106366400 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 4106366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6780301400).

4106366400 is an abundant number, since it is smaller than the sum of its proper divisors (9454236400).

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

4106366400 is a wasteful number, since it uses less digits than its factorization.

4106366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5631 (or 5616 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 4106366400 is about 64080.9363227473. The cubic root of 4106366400 is about 1601.3486545541.

The spelling of 4106366400 in words is "four billion, one hundred six million, three hundred sixty-six thousand, four hundred".