40005152 has 48 divisors (see below), whose sum is σ = 88905600. Its totient is φ = 17552640.

The previous prime is 40005143. The next prime is 40005157. The reversal of 40005152 is 25150004.

It is a self number, because there is not a number n which added to its sum of digits gives 40005152.

It is not an unprimeable number, because it can be changed into a prime (40005157) 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, 8249 + ... + 12167.

It is an arithmetic number, because the mean of its divisors is an integer number (1852200).

Almost surely, 2^40005152 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 40005152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44452800).

40005152 is an abundant number, since it is smaller than the sum of its proper divisors (48900448).

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

40005152 is a wasteful number, since it uses less digits than its factorization.

40005152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3969 (or 3961 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 40005152 is about 6324.9626085851. The cubic root of 40005152 is about 342.0098716985.

Adding to 40005152 its reverse (25150004), we get a palindrome (65155156).

The spelling of 40005152 in words is "forty million, five thousand, one hundred fifty-two".