40032000 has 216 divisors, whose sum is σ = 145083120. Its totient is φ = 10598400.

The previous prime is 40031987. The next prime is 40032023. The reversal of 40032000 is 23004.

It is a super-2 number, since 2×40032000² = 3205122048000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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, 287931 + ... + 288069.

Almost surely, 2^40032000 is an apocalyptic number.

40032000 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 40032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72541560).

40032000 is an abundant number, since it is smaller than the sum of its proper divisors (105051120).

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

40032000 is a wasteful number, since it uses less digits than its factorization.

40032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 40032000 is about 6327.0846367028. The cubic root of 40032000 is about 342.0863637436.

Adding to 40032000 its reverse (23004), we get a palindrome (40055004).

It can be divided in two parts, 400 and 32000, that added together give a square (32400 = 180²).

The spelling of 40032000 in words is "forty million, thirty-two thousand", and thus it is an eban number.