7911344381040 has 480 divisors, whose sum is σ = 27218307916800. Its totient is φ = 2058880112640.

The previous prime is 7911344381029. The next prime is 7911344381051. The reversal of 7911344381040 is 401834431197.

It is a happy number.

7911344381040 is a `hidden beast` number, since 7 + 91 + 1 + 3 + 443 + 81 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (7911344381029) and next prime (7911344381051).

It is a super-2 number, since 2×7911344381040² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 2004392347 + ... + 2004396293.

It is an arithmetic number, because the mean of its divisors is an integer number (56704808160).

Almost surely, 2^{7911344381040} 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 7911344381040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13609153958400).

7911344381040 is an abundant number, since it is smaller than the sum of its proper divisors (19306963535760).

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

7911344381040 is a wasteful number, since it uses less digits than its factorization.

7911344381040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4445 (or 4436 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 7911344381040 in words is "seven trillion, nine hundred eleven billion, three hundred forty-four million, three hundred eighty-one thousand, forty".