333400040 has 64 divisors (see below), whose sum is σ = 786101760. Its totient is φ = 127100160.

The previous prime is 333400033. The next prime is 333400057. The reversal of 333400040 is 40004333.

It is a super-2 number, since 2×333400040² = 222311173344003200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 333399991 and 333400018.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81074 + ... + 85086.

It is an arithmetic number, because the mean of its divisors is an integer number (12282840).

Almost surely, 2^333400040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 333400040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393050880).

333400040 is an abundant number, since it is smaller than the sum of its proper divisors (452701720).

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

333400040 is a wasteful number, since it uses less digits than its factorization.

333400040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4122 (or 4118 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

The square root of 333400040 is about 18259.2453294215. The cubic root of 333400040 is about 693.4075230851.

Adding to 333400040 its reverse (40004333), we get a palindrome (373404373).

The spelling of 333400040 in words is "three hundred thirty-three million, four hundred thousand, forty".