40908430080 has 1440 divisors, whose sum is σ = 185497905600. Its totient is φ = 8497004544.

The previous prime is 40908430037. The next prime is 40908430099. The reversal of 40908430080 is 8003480904.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×40908430080² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1410635506 + ... + 1410635534.

It is an arithmetic number, because the mean of its divisors is an integer number (128817990).

Almost surely, 2^40908430080 is an apocalyptic number.

40908430080 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 40908430080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92748952800).

40908430080 is an abundant number, since it is smaller than the sum of its proper divisors (144589475520).

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

40908430080 is an equidigital number, since it uses as much as digits as its factorization.

40908430080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 40908430080 in words is "forty billion, nine hundred eight million, four hundred thirty thousand, eighty".