40680003960 has 192 divisors, whose sum is σ = 139501440000. Its totient is φ = 10252465920.

The previous prime is 40680003937. The next prime is 40680004019. The reversal of 40680003960 is 6930008604.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2941141 + ... + 2954939.

It is an arithmetic number, because the mean of its divisors is an integer number (726570000).

Almost surely, 2^40680003960 is an apocalyptic number.

40680003960 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 40680003960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69750720000).

40680003960 is an abundant number, since it is smaller than the sum of its proper divisors (98821436040).

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

40680003960 is a wasteful number, since it uses less digits than its factorization.

40680003960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14266 (or 14259 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 40680003960 in words is "forty billion, six hundred eighty million, three thousand, nine hundred sixty".