7401224448 has 144 divisors (see below), whose sum is σ = 23174544960. Its totient is φ = 2321915904.

The previous prime is 7401224443. The next prime is 7401224581. The reversal of 7401224448 is 8444221047.

7401224448 is a `hidden beast` number, since 7 + 401 + 2 + 244 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (7401224443) 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, 86011 + ... + 148997.

It is an arithmetic number, because the mean of its divisors is an integer number (160934340).

Almost surely, 2^7401224448 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 7401224448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11587272480).

7401224448 is an abundant number, since it is smaller than the sum of its proper divisors (15773320512).

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

7401224448 is a wasteful number, since it uses less digits than its factorization.

7401224448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63029 (or 63009 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The square root of 7401224448 is about 86030.3693354852. The cubic root of 7401224448 is about 1948.8026353431.

The spelling of 7401224448 in words is "seven billion, four hundred one million, two hundred twenty-four thousand, four hundred forty-eight".