7041745440 has 288 divisors, whose sum is σ = 25601546880. Its totient is φ = 1756372992.

The previous prime is 7041745427. The next prime is 7041745441. The reversal of 7041745440 is 445471407.

It is a happy number.

7041745440 is a `hidden beast` number, since 7 + 0 + 41 + 74 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7041745395 and 7041745404.

It is not an unprimeable number, because it can be changed into a prime (7041745441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4381117 + ... + 4382723.

It is an arithmetic number, because the mean of its divisors is an integer number (88894260).

Almost surely, 2^7041745440 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 7041745440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12800773440).

7041745440 is an abundant number, since it is smaller than the sum of its proper divisors (18559801440).

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

7041745440 is a wasteful number, since it uses less digits than its factorization.

7041745440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1824 (or 1813 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

The square root of 7041745440 is about 83915.1085323734. The cubic root of 7041745440 is about 1916.7263224616.

The spelling of 7041745440 in words is "seven billion, forty-one million, seven hundred forty-five thousand, four hundred forty".