7214261040 has 240 divisors, whose sum is σ = 28041062400. Its totient is φ = 1628011008.

The previous prime is 7214261039. The next prime is 7214261053. The reversal of 7214261040 is 401624127.

7214261040 is a `hidden beast` number, since 7 + 2 + 1 + 4 + 2 + 610 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 7214260995 and 7214261013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 389101 + ... + 407219.

It is an arithmetic number, because the mean of its divisors is an integer number (116837760).

Almost surely, 2^7214261040 is an apocalyptic number.

7214261040 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 7214261040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14020531200).

7214261040 is an abundant number, since it is smaller than the sum of its proper divisors (20826801360).

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

7214261040 is a wasteful number, since it uses less digits than its factorization.

7214261040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18224 (or 18215 counting only the distinct ones).

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

The square root of 7214261040 is about 84936.8061561064. The cubic root of 7214261040 is about 1932.2528249565.

Adding to 7214261040 its reverse (401624127), we get a palindrome (7615885167).

The spelling of 7214261040 in words is "seven billion, two hundred fourteen million, two hundred sixty-one thousand, forty".