40814476080 has 320 divisors, whose sum is σ = 152613565440. Its totient is φ = 8814624768.

The previous prime is 40814475983. The next prime is 40814476103. The reversal of 40814476080 is 8067441804.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13819884 + ... + 13822836.

It is an arithmetic number, because the mean of its divisors is an integer number (476917392).

Almost surely, 2^40814476080 is an apocalyptic number.

40814476080 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 40814476080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76306782720).

40814476080 is an abundant number, since it is smaller than the sum of its proper divisors (111799089360).

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

40814476080 is a wasteful number, since it uses less digits than its factorization.

40814476080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3428 (or 3422 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The spelling of 40814476080 in words is "forty billion, eight hundred fourteen million, four hundred seventy-six thousand, eighty".