40808040000000 has 2560 divisors, whose sum is σ = 173474780903424. Its totient is φ = 8294400000000.

The previous prime is 40808039999999. The next prime is 40808040000023. The reversal of 40808040000000 is 4080804.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a super-2 number, since 2×40808040000000² (a number of 28 digits) contains 22 as substring.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 404039999950 + ... + 404040000050.

Almost surely, 2^{40808040000000} is an apocalyptic number.

40808040000000 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 40808040000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86737390451712).

40808040000000 is an abundant number, since it is smaller than the sum of its proper divisors (132666740903424).

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

40808040000000 is an frugal number, since it uses more digits than its factorization.

40808040000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 40808040000000 its reverse (4080804), we get a palindrome (40808044080804).

40808040000000 divided by its reverse (4080804) gives a 7-th power (10000000 = 10⁷).

The spelling of 40808040000000 in words is "forty trillion, eight hundred eight billion, forty million", and thus it is an aban number.