40968607680 has 1120 divisors, whose sum is σ = 195792791040. Its totient is φ = 7853137920.

The previous prime is 40968607643. The next prime is 40968607739. The reversal of 40968607680 is 8670686904.

40968607680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 25945131 + ... + 25946709.

It is an arithmetic number, because the mean of its divisors is an integer number (174814992).

Almost surely, 2^40968607680 is an apocalyptic number.

40968607680 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 40968607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97896395520).

40968607680 is an abundant number, since it is smaller than the sum of its proper divisors (154824183360).

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

40968607680 is a wasteful number, since it uses less digits than its factorization.

40968607680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1639 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

It can be divided in two parts, 409 and 68607680, that added together give a square (68608089 = 8283²).

The spelling of 40968607680 in words is "forty billion, nine hundred sixty-eight million, six hundred seven thousand, six hundred eighty".