40771002560 has 224 divisors, whose sum is σ = 107094528000. Its totient is φ = 14723444736.

The previous prime is 40771002529. The next prime is 40771002563. The reversal of 40771002560 is 6520017704.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (40771002563) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 13927817 + ... + 13930743.

Almost surely, 2^40771002560 is an apocalyptic number.

40771002560 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 40771002560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53547264000).

40771002560 is an abundant number, since it is smaller than the sum of its proper divisors (66323525440).

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

40771002560 is a wasteful number, since it uses less digits than its factorization.

40771002560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3071 (or 3061 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The spelling of 40771002560 in words is "forty billion, seven hundred seventy-one million, two thousand, five hundred sixty".