40765032 has 320 divisors, whose sum is σ = 153331200. Its totient is φ = 9797760.

The previous prime is 40765007. The next prime is 40765057. The reversal of 40765032 is 23056704.

It is a happy number.

40765032 is a `hidden beast` number, since 4 + 0 + 7 + 650 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (40765007) and next prime (40765057).

It is a super-2 number, since 2×40765032² = 3323575667922048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 40764987 and 40765005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 948003 + ... + 948045.

It is an arithmetic number, because the mean of its divisors is an integer number (479160).

Almost surely, 2^40765032 is an apocalyptic number.

40765032 is a gapful number since it is divisible by the number (42) 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 40765032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76665600).

40765032 is an abundant number, since it is smaller than the sum of its proper divisors (112566168).

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

40765032 is a wasteful number, since it uses less digits than its factorization.

40765032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 40765032 is about 6384.7499559497. The cubic root of 40765032 is about 344.1617456422.

The spelling of 40765032 in words is "forty million, seven hundred sixty-five thousand, thirty-two".