40304414040 has 64 divisors (see below), whose sum is σ = 131905359360. Its totient is φ = 9770766720.

The previous prime is 40304413969. The next prime is 40304414047. The reversal of 40304414040 is 4041440304.

It is a super-2 number, since 2×40304414040² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 40304414040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40304414047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15265504 + ... + 15268143.

It is an arithmetic number, because the mean of its divisors is an integer number (2061021240).

Almost surely, 2^40304414040 is an apocalyptic number.

40304414040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40304414040 is an abundant number, since it is smaller than the sum of its proper divisors (91600945320).

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

40304414040 is a wasteful number, since it uses less digits than its factorization.

40304414040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30533672 (or 30533668 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 40304414040 its reverse (4041440304), we get a palindrome (44345854344).

The spelling of 40304414040 in words is "forty billion, three hundred four million, four hundred fourteen thousand, forty".