7411488100 has 27 divisors (see below), whose sum is σ = 16084797547. Its totient is φ = 2964250880.

The previous prime is 7411488059. The next prime is 7411488109. The reversal of 7411488100 is 18841147.

The square root of 7411488100 is 86090.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1225980196 + 6185507904 = 35014^2 + 78648^2 .

It is a super-2 number, since 2×7411488100² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7411488109) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 856596 + ... + 865204.

Almost surely, 2^7411488100 is an apocalyptic number.

7411488100 is the 86090-th square number.

It is an amenable number.

7411488100 is an abundant number, since it is smaller than the sum of its proper divisors (8673309447).

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

7411488100 is an frugal number, since it uses more digits than its factorization.

7411488100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17232 (or 8616 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 34.

The cubic root of 7411488100 is about 1949.7030536217.

It can be divided in two parts, 741 and 1488100, that added together give a palindrome (1488841).

The spelling of 7411488100 in words is "seven billion, four hundred eleven million, four hundred eighty-eight thousand, one hundred".