7256161440 has 480 divisors, whose sum is σ = 29164012416. Its totient is φ = 1681827840.

The previous prime is 7256161421. The next prime is 7256161441. The reversal of 7256161440 is 441616527.

7256161440 is a `hidden beast` number, since 7 + 2 + 56 + 161 + 440 = 666.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 7256161395 and 7256161404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7256161441) 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, 3277774 + ... + 3279986.

Almost surely, 2^7256161440 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 7256161440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14582006208).

7256161440 is an abundant number, since it is smaller than the sum of its proper divisors (21907850976).

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

7256161440 is a wasteful number, since it uses less digits than its factorization.

7256161440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2274 (or 2257 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 7256161440 is about 85183.1053672029. The cubic root of 7256161440 is about 1935.9864449339.

Adding to 7256161440 its reverse (441616527), we get a palindrome (7697777967).

The spelling of 7256161440 in words is "seven billion, two hundred fifty-six million, one hundred sixty-one thousand, four hundred forty".