7741101040 has 80 divisors (see below), whose sum is σ = 18320764896. Its totient is φ = 3041280000.

The previous prime is 7741101037. The next prime is 7741101041. The reversal of 7741101040 is 401011477.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×7741101040² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7741100996 and 7741101014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7741101041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1463200 + ... + 1468480.

Almost surely, 2^7741101040 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 7741101040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9160382448).

7741101040 is an abundant number, since it is smaller than the sum of its proper divisors (10579663856).

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

7741101040 is a wasteful number, since it uses less digits than its factorization.

7741101040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5618 (or 5612 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 25.

The square root of 7741101040 is about 87983.5270945647. The cubic root of 7741101040 is about 1978.1880713210.

The spelling of 7741101040 in words is "seven billion, seven hundred forty-one million, one hundred one thousand, forty".