40516661504 has 72 divisors (see below), whose sum is σ = 88274407872. Its totient is φ = 18406840320.

The previous prime is 40516661503. The next prime is 40516661509.

It is a happy number.

40516661504 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (40516661503) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 9158237 + ... + 9162659.

Almost surely, 2^40516661504 is an apocalyptic number.

40516661504 is a gapful number since it is divisible by the number (44) 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 40516661504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44137203936).

40516661504 is an abundant number, since it is smaller than the sum of its proper divisors (47757746368).

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

40516661504 is a wasteful number, since it uses less digits than its factorization.

40516661504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7703 (or 7689 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The spelling of 40516661504 in words is "forty billion, five hundred sixteen million, six hundred sixty-one thousand, five hundred four".