40796640 has 144 divisors (see below), whose sum is σ = 142820496. Its totient is φ = 10598400.

The previous prime is 40796633. The next prime is 40796677. The reversal of 40796640 is 4669704.

40796640 is a `hidden beast` number, since 4 + 0 + 7 + 9 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 40796595 and 40796604.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 58695 + ... + 59385.

It is an arithmetic number, because the mean of its divisors is an integer number (991809).

Almost surely, 2^40796640 is an apocalyptic number.

40796640 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 40796640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71410248).

40796640 is an abundant number, since it is smaller than the sum of its proper divisors (102023856).

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

40796640 is a wasteful number, since it uses less digits than its factorization.

40796640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 40796640 is about 6387.2247494510. The cubic root of 40796640 is about 344.2506736079.

The spelling of 40796640 in words is "forty million, seven hundred ninety-six thousand, six hundred forty".