40071024 has 150 divisors (see below), whose sum is σ = 135126024. Its totient is φ = 11430720.

The previous prime is 40071013. The next prime is 40071029. The reversal of 40071024 is 42017004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 40070988 and 40071006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40071029) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 63189 + ... + 63819.

Almost surely, 2^40071024 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 40071024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67563012).

40071024 is an abundant number, since it is smaller than the sum of its proper divisors (95055000).

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

40071024 is a wasteful number, since it uses less digits than its factorization.

40071024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 40071024 is about 6330.1677702886. The cubic root of 40071024 is about 342.1974852031.

Adding to 40071024 its reverse (42017004), we get a palindrome (82088028).

The spelling of 40071024 in words is "forty million, seventy-one thousand, twenty-four".