4106678400 has 768 divisors, whose sum is σ = 17074800000. Its totient is φ = 954777600.

The previous prime is 4106678393. The next prime is 4106678419. The reversal of 4106678400 is 48766014.

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 95 ways as a sum of consecutive naturals, for example, 27561526 + ... + 27561674.

Almost surely, 2^4106678400 is an apocalyptic number.

4106678400 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 4106678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8537400000).

4106678400 is an abundant number, since it is smaller than the sum of its proper divisors (12968121600).

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

4106678400 is a wasteful number, since it uses less digits than its factorization.

4106678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4106678400 is about 64083.3706978651. The cubic root of 4106678400 is about 1601.3892101271.

The spelling of 4106678400 in words is "four billion, one hundred six million, six hundred seventy-eight thousand, four hundred".