40959767136 has 192 divisors, whose sum is σ = 110927771136. Its totient is φ = 13229568000.

The previous prime is 40959767131. The next prime is 40959767171. The reversal of 40959767136 is 63176795904.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40959767131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175792876 + ... + 175793108.

It is an arithmetic number, because the mean of its divisors is an integer number (577748808).

Almost surely, 2^40959767136 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 40959767136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55463885568).

40959767136 is an abundant number, since it is smaller than the sum of its proper divisors (69968004000).

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

40959767136 is a wasteful number, since it uses less digits than its factorization.

40959767136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 8573040, while the sum is 57.

The spelling of 40959767136 in words is "forty billion, nine hundred fifty-nine million, seven hundred sixty-seven thousand, one hundred thirty-six".