40711680000 has 1040 divisors, whose sum is σ = 163767577600. Its totient is φ = 9953280000.

The previous prime is 40711679993. The next prime is 40711680001. The reversal of 40711680000 is 8611704.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40711680001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1313279985 + ... + 1313280015.

Almost surely, 2^40711680000 is an apocalyptic number.

40711680000 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 40711680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81883788800).

40711680000 is an abundant number, since it is smaller than the sum of its proper divisors (123055897600).

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

40711680000 is an equidigital number, since it uses as much as digits as its factorization.

40711680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 40711680000 in words is "forty billion, seven hundred eleven million, six hundred eighty thousand".