40955242720 has 192 divisors, whose sum is σ = 113106672000. Its totient is φ = 14008135680.

The previous prime is 40955242673. The next prime is 40955242733. The reversal of 40955242720 is 2724255904.

It is a super-3 number, since 3×40955242720³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36275116 + ... + 36276244.

It is an arithmetic number, because the mean of its divisors is an integer number (589097250).

Almost surely, 2^40955242720 is an apocalyptic number.

40955242720 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 40955242720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56553336000).

40955242720 is an abundant number, since it is smaller than the sum of its proper divisors (72151429280).

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

40955242720 is a wasteful number, since it uses less digits than its factorization.

40955242720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The spelling of 40955242720 in words is "forty billion, nine hundred fifty-five million, two hundred forty-two thousand, seven hundred twenty".