40479490656 has 288 divisors, whose sum is σ = 129701059488. Its totient is φ = 11867627520.

The previous prime is 40479490643. The next prime is 40479490661. The reversal of 40479490656 is 65609497404.

It is a happy number.

40479490656 is a `hidden beast` number, since 404 + 7 + 94 + 90 + 65 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23090676 + ... + 23092428.

It is an arithmetic number, because the mean of its divisors is an integer number (450350901).

Almost surely, 2^40479490656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40479490656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64850529744).

40479490656 is an abundant number, since it is smaller than the sum of its proper divisors (89221568832).

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

40479490656 is a wasteful number, since it uses less digits than its factorization.

40479490656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2014 (or 2003 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

It can be divided in two parts, 40479 and 490656, that added together give a palindrome (531135).

The spelling of 40479490656 in words is "forty billion, four hundred seventy-nine million, four hundred ninety thousand, six hundred fifty-six".