4094866440 has 256 divisors, whose sum is σ = 15699916800. Its totient is φ = 929947392.

The previous prime is 4094866421. The next prime is 4094866511. The reversal of 4094866440 is 446684904.

4094866440 is a `hidden beast` number, since 40 + 94 + 86 + 6 + 440 = 666.

It is a super-2 number, since 2×4094866440² = 33535862322876547200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1230619 + ... + 1233941.

It is an arithmetic number, because the mean of its divisors is an integer number (61327800).

Almost surely, 2^4094866440 is an apocalyptic number.

4094866440 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 4094866440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7849958400).

4094866440 is an abundant number, since it is smaller than the sum of its proper divisors (11605050360).

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

4094866440 is a wasteful number, since it uses less digits than its factorization.

4094866440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3513 (or 3503 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 4094866440 is about 63991.1434496993. The cubic root of 4094866440 is about 1599.8523874237.

The spelling of 4094866440 in words is "four billion, ninety-four million, eight hundred sixty-six thousand, four hundred forty".