7144040448 has 288 divisors, whose sum is σ = 21525678720. Its totient is φ = 2281144320.

The previous prime is 7144040443. The next prime is 7144040471. The reversal of 7144040448 is 8440404417.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (7144040443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69359565 + ... + 69359667.

It is an arithmetic number, because the mean of its divisors is an integer number (74741940).

Almost surely, 2^7144040448 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 7144040448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10762839360).

7144040448 is an abundant number, since it is smaller than the sum of its proper divisors (14381638272).

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

7144040448 is a wasteful number, since it uses less digits than its factorization.

7144040448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 232 counting only the distinct ones).

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

The square root of 7144040448 is about 84522.4257105770. The cubic root of 7144040448 is about 1925.9631272399.

The spelling of 7144040448 in words is "seven billion, one hundred forty-four million, forty thousand, four hundred forty-eight".