7144878240 has 192 divisors, whose sum is σ = 26094700800. Its totient is φ = 1822436352.

The previous prime is 7144878239. The next prime is 7144878281. The reversal of 7144878240 is 428784417.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63406 + ... + 135314.

It is an arithmetic number, because the mean of its divisors is an integer number (135909900).

Almost surely, 2^7144878240 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 7144878240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13047350400).

7144878240 is an abundant number, since it is smaller than the sum of its proper divisors (18949822560).

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

7144878240 is a wasteful number, since it uses less digits than its factorization.

7144878240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71956 (or 71942 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The square root of 7144878240 is about 84527.3815991008. The cubic root of 7144878240 is about 1926.0384111282.

The spelling of 7144878240 in words is "seven billion, one hundred forty-four million, eight hundred seventy-eight thousand, two hundred forty".