40961168640 has 504 divisors, whose sum is σ = 168146700288. Its totient is φ = 9361059840.

The previous prime is 40961168593. The next prime is 40961168659. The reversal of 40961168640 is 4686116904.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6528705 + ... + 6534975.

Almost surely, 2^40961168640 is an apocalyptic number.

40961168640 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 40961168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84073350144).

40961168640 is an abundant number, since it is smaller than the sum of its proper divisors (127185531648).

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

40961168640 is an frugal number, since it uses more digits than its factorization.

40961168640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6317 (or 6288 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 40961168640 in words is "forty billion, nine hundred sixty-one million, one hundred sixty-eight thousand, six hundred forty".