8741349595440 has 1920 divisors, whose sum is σ = 38957893201920. Its totient is φ = 1784759961600.

The previous prime is 8741349595423. The next prime is 8741349595471. The reversal of 8741349595440 is 445959431478.

8741349595440 is a `hidden beast` number, since 8 + 7 + 4 + 1 + 34 + 9 + 59 + 544 + 0 = 666.

It is a super-2 number, since 2×8741349595440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9039657837 + ... + 9039658803.

It is an arithmetic number, because the mean of its divisors is an integer number (20290569376).

Almost surely, 2^{8741349595440} is an apocalyptic number.

8741349595440 is a gapful number since it is divisible by the number (80) 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 8741349595440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19478946600960).

8741349595440 is an abundant number, since it is smaller than the sum of its proper divisors (30216543606480).

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

8741349595440 is a wasteful number, since it uses less digits than its factorization.

8741349595440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 8741349595440 in words is "eight trillion, seven hundred forty-one billion, three hundred forty-nine million, five hundred ninety-five thousand, four hundred forty".