40642992 has 80 divisors (see below), whose sum is σ = 125651680. Its totient is φ = 12503808.

The previous prime is 40642991. The next prime is 40642993. The reversal of 40642992 is 29924604.

40642992 is a `hidden beast` number, since 4 + 0 + 642 + 9 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (40642991) and next prime (40642993).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (40642991) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1998 + ... + 9234.

It is an arithmetic number, because the mean of its divisors is an integer number (1570646).

Almost surely, 2^40642992 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 40642992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62825840).

40642992 is an abundant number, since it is smaller than the sum of its proper divisors (85008688).

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

40642992 is a wasteful number, since it uses less digits than its factorization.

40642992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7267 (or 7255 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 40642992 is about 6375.1856443558. The cubic root of 40642992 is about 343.8179584868.

It can be divided in two parts, 4064 and 2992, that added together give a square (7056 = 84²).

The spelling of 40642992 in words is "forty million, six hundred forty-two thousand, nine hundred ninety-two".