40133023424 has 112 divisors (see below), whose sum is σ = 87458397600. Its totient is φ = 18158985216.

The previous prime is 40133023423. The next prime is 40133023451. The reversal of 40133023424 is 42432033104.

It is a super-2 number, since 2×40133023424² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 40133023393 and 40133023402.

It is not an unprimeable number, because it can be changed into a prime (40133023423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22432322 + ... + 22434110.

It is an arithmetic number, because the mean of its divisors is an integer number (780878550).

Almost surely, 2^40133023424 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 40133023424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43729198800).

40133023424 is an abundant number, since it is smaller than the sum of its proper divisors (47325374176).

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

40133023424 is a wasteful number, since it uses less digits than its factorization.

40133023424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2330 (or 2320 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 40133023424 its reverse (42432033104), we get a palindrome (82565056528).

The spelling of 40133023424 in words is "forty billion, one hundred thirty-three million, twenty-three thousand, four hundred twenty-four".