40437152 has 144 divisors (see below), whose sum is σ = 103162248. Its totient is φ = 15482880.

The previous prime is 40437143. The next prime is 40437179. The reversal of 40437152 is 25173404.

It can be written as a sum of positive squares in 4 ways, for example, as 36917776 + 3519376 = 6076^2 + 1876^2 .

It is a super-2 number, since 2×40437152² = 3270326523742208, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 986252 + ... + 986292.

Almost surely, 2^40437152 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 40437152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51581124).

40437152 is an abundant number, since it is smaller than the sum of its proper divisors (62725096).

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

40437152 is a wasteful number, since it uses less digits than its factorization.

40437152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 40437152 is about 6359.0213083461. The cubic root of 40437152 is about 343.2365437620.

The spelling of 40437152 in words is "forty million, four hundred thirty-seven thousand, one hundred fifty-two".