40034004040 has 64 divisors (see below), whose sum is σ = 92226470400. Its totient is φ = 15633116928.

The previous prime is 40034004001. The next prime is 40034004041. The reversal of 40034004040 is 4040043004.

It is a junction number, because it is equal to n+sod(n) for n = 40034003999 and 40034004017.

It is not an unprimeable number, because it can be changed into a prime (40034004041) 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, 719541 + ... + 773179.

It is an arithmetic number, because the mean of its divisors is an integer number (1441038600).

Almost surely, 2^40034004040 is an apocalyptic number.

40034004040 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 40034004040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46113235200).

40034004040 is an abundant number, since it is smaller than the sum of its proper divisors (52192466360).

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

40034004040 is a wasteful number, since it uses less digits than its factorization.

40034004040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54094 (or 54090 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

Adding to 40034004040 its reverse (4040043004), we get a palindrome (44074047044).

The spelling of 40034004040 in words is "forty billion, thirty-four million, four thousand, forty", and thus it is an eban number.