40133440 has 56 divisors (see below), whose sum is σ = 96268032. Its totient is φ = 15936000.

The previous prime is 40133417. The next prime is 40133449. The reversal of 40133440 is 4433104.

It is a super-2 number, since 2×40133440² = 3221386012467200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40133449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53065 + ... + 53815.

It is an arithmetic number, because the mean of its divisors is an integer number (1719072).

Almost surely, 2^40133440 is an apocalyptic number.

40133440 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 40133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48134016).

40133440 is an abundant number, since it is smaller than the sum of its proper divisors (56134592).

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

40133440 is a wasteful number, since it uses less digits than its factorization.

40133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 40133440 is about 6335.0958950911. The cubic root of 40133440 is about 342.3750658758.

Adding to 40133440 its reverse (4433104), we get a palindrome (44566544).

The spelling of 40133440 in words is "forty million, one hundred thirty-three thousand, four hundred forty".