4106894400 has 588 divisors, whose sum is σ = 17350264512. Its totient is φ = 936852480.

The previous prime is 4106894387. The next prime is 4106894413. The reversal of 4106894400 is 44986014.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4106894387) and next prime (4106894413).

It is a super-2 number, since 2×4106894400² = 33733163225502720000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 8164549 + ... + 8165051.

Almost surely, 2^4106894400 is an apocalyptic number.

4106894400 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 4106894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8675132256).

4106894400 is an abundant number, since it is smaller than the sum of its proper divisors (13243370112).

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

4106894400 is an equidigital number, since it uses as much as digits as its factorization.

4106894400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4106894400 is about 64085.0559803142. The cubic root of 4106894400 is about 1601.4172858590.

The spelling of 4106894400 in words is "four billion, one hundred six million, eight hundred ninety-four thousand, four hundred".