40484271744 has 640 divisors, whose sum is σ = 145971302400. Its totient is φ = 10888390656.

The previous prime is 40484271739. The next prime is 40484271749. The reversal of 40484271744 is 44717248404.

It is an interprime number because it is at equal distance from previous prime (40484271739) and next prime (40484271749).

It is a self number, because there is not a number n which added to its sum of digits gives 40484271744.

It is not an unprimeable number, because it can be changed into a prime (40484271749) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 131870439 + ... + 131870745.

It is an arithmetic number, because the mean of its divisors is an integer number (228080160).

Almost surely, 2^40484271744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40484271744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72985651200).

40484271744 is an abundant number, since it is smaller than the sum of its proper divisors (105487030656).

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

40484271744 is a wasteful number, since it uses less digits than its factorization.

40484271744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 802816, while the sum is 45.

The spelling of 40484271744 in words is "forty billion, four hundred eighty-four million, two hundred seventy-one thousand, seven hundred forty-four".