40105674240 has 160 divisors (see below), whose sum is σ = 134961361920. Its totient is φ = 10131922944.

The previous prime is 40105674227. The next prime is 40105674247. The reversal of 40105674240 is 4247650104.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40105674247) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8497 + ... + 283343.

It is an arithmetic number, because the mean of its divisors is an integer number (843508512).

Almost surely, 2^40105674240 is an apocalyptic number.

40105674240 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 40105674240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67480680960).

40105674240 is an abundant number, since it is smaller than the sum of its proper divisors (94855687680).

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

40105674240 is a wasteful number, since it uses less digits than its factorization.

40105674240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274892 (or 274876 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The spelling of 40105674240 in words is "forty billion, one hundred five million, six hundred seventy-four thousand, two hundred forty".