40442821965 has 64 divisors (see below), whose sum is σ = 88490304000. Its totient is φ = 17065976832.

The previous prime is 40442821961. The next prime is 40442821999. The reversal of 40442821965 is 56912824404.

It is a happy number.

40442821965 is a `hidden beast` number, since 4 + 0 + 4 + 428 + 219 + 6 + 5 = 666.

It is not a de Polignac number, because 40442821965 - 2² = 40442821961 is a prime.

It is a super-2 number, since 2×40442821965² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 40442821965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40442821961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1633740 + ... + 1658309.

It is an arithmetic number, because the mean of its divisors is an integer number (1382661000).

Almost surely, 2^40442821965 is an apocalyptic number.

40442821965 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40442821965 is an abundant number, since it is smaller than the sum of its proper divisors (48047482035).

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

40442821965 is a wasteful number, since it uses less digits than its factorization.

40442821965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3292083 (or 3292077 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 40442821965 in words is "forty billion, four hundred forty-two million, eight hundred twenty-one thousand, nine hundred sixty-five".