40481654976 has 252 divisors, whose sum is σ = 137853956448. Its totient is φ = 11319727104.

The previous prime is 40481654933. The next prime is 40481655013. The reversal of 40481654976 is 67945618404.

40481654976 is a `hidden beast` number, since 40 + 48 + 16 + 549 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1311270 + ... + 1341786.

Almost surely, 2^40481654976 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 40481654976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68926978224).

40481654976 is an abundant number, since it is smaller than the sum of its proper divisors (97372301472).

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

40481654976 is a wasteful number, since it uses less digits than its factorization.

40481654976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30596 (or 30576 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 40481654976 in words is "forty billion, four hundred eighty-one million, six hundred fifty-four thousand, nine hundred seventy-six".