40333440 has 128 divisors (see below), whose sum is σ = 146977920. Its totient is φ = 9216000.

The previous prime is 40333369. The next prime is 40333451. The reversal of 40333440 is 4433304.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 11940 + ... + 14940.

It is an arithmetic number, because the mean of its divisors is an integer number (1148265).

Almost surely, 2^40333440 is an apocalyptic number.

40333440 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 40333440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73488960).

40333440 is an abundant number, since it is smaller than the sum of its proper divisors (106644480).

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

40333440 is a wasteful number, since it uses less digits than its factorization.

40333440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3030 (or 3018 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 40333440 is about 6350.8613589024. The cubic root of 40333440 is about 342.9428515883.

Adding to 40333440 its reverse (4433304), we get a palindrome (44766744).

The spelling of 40333440 in words is "forty million, three hundred thirty-three thousand, four hundred forty".