40960040160 has 192 divisors, whose sum is σ = 139729121280. Its totient is φ = 10025871360.

The previous prime is 40960040117. The next prime is 40960040167. The reversal of 40960040160 is 6104006904.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40960040167) 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, 1098625 + ... + 1135295.

It is an arithmetic number, because the mean of its divisors is an integer number (727755840).

Almost surely, 2^40960040160 is an apocalyptic number.

40960040160 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 40960040160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69864560640).

40960040160 is an abundant number, since it is smaller than the sum of its proper divisors (98769081120).

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

40960040160 is a wasteful number, since it uses less digits than its factorization.

40960040160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36881 (or 36873 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 40960040160 in words is "forty billion, nine hundred sixty million, forty thousand, one hundred sixty".