7040144160 has 480 divisors, whose sum is σ = 28821526272. Its totient is φ = 1585059840.

The previous prime is 7040144131. The next prime is 7040144161. The reversal of 7040144160 is 614410407.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (7040144161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6440574 + ... + 6441666.

Almost surely, 2^7040144160 is an apocalyptic number.

7040144160 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7040144160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14410763136).

7040144160 is an abundant number, since it is smaller than the sum of its proper divisors (21781382112).

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

7040144160 is a wasteful number, since it uses less digits than its factorization.

7040144160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 7040144160 is about 83905.5669190072. The cubic root of 7040144160 is about 1916.5810247640.

Adding to 7040144160 its reverse (614410407), we get a palindrome (7654554567).

The spelling of 7040144160 in words is "seven billion, forty million, one hundred forty-four thousand, one hundred sixty".