40751941680 has 240 divisors, whose sum is σ = 147645594720. Its totient is φ = 10034798592.

The previous prime is 40751941679. The next prime is 40751941693. The reversal of 40751941680 is 8614915704.

40751941680 is a `hidden beast` number, since 40 + 7 + 519 + 4 + 16 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 617311 + ... + 680129.

It is an arithmetic number, because the mean of its divisors is an integer number (615189978).

Almost surely, 2^40751941680 is an apocalyptic number.

40751941680 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 40751941680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73822797360).

40751941680 is an abundant number, since it is smaller than the sum of its proper divisors (106893653040).

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

40751941680 is a wasteful number, since it uses less digits than its factorization.

40751941680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62908 (or 62899 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 40751941680 in words is "forty billion, seven hundred fifty-one million, nine hundred forty-one thousand, six hundred eighty".