7261440048 has 100 divisors (see below), whose sum is σ = 21047791248. Its totient is φ = 2416901760.

The previous prime is 7261440029. The next prime is 7261440071. The reversal of 7261440048 is 8400441627.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 7261439994 and 7261440021.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 959158 + ... + 966698.

Almost surely, 2^7261440048 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 7261440048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10523895624).

7261440048 is an abundant number, since it is smaller than the sum of its proper divisors (13786351200).

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

7261440048 is a wasteful number, since it uses less digits than its factorization.

7261440048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8304 (or 8289 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 7261440048 is about 85214.0836247155. The cubic root of 7261440048 is about 1936.4557856707.

The spelling of 7261440048 in words is "seven billion, two hundred sixty-one million, four hundred forty thousand, forty-eight".