40808040000 has 1120 divisors, whose sum is σ = 172233067776. Its totient is φ = 8294400000.

The previous prime is 40808039977. The next prime is 40808040011. The reversal of 40808040000 is 4080804.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×40808040000² (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 super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 159 ways as a sum of consecutive naturals, for example, 404039950 + ... + 404040050.

Almost surely, 2^40808040000 is an apocalyptic number.

40808040000 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 40808040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86116533888).

40808040000 is an abundant number, since it is smaller than the sum of its proper divisors (131425027776).

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

40808040000 is a wasteful number, since it uses less digits than its factorization.

40808040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 168 counting only the distinct ones).

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

40808040000 divided by its reverse (4080804) gives a 4-th power (10000 = 10⁴).

The spelling of 40808040000 in words is "forty billion, eight hundred eight million, forty thousand".