7214360040 has 256 divisors, whose sum is σ = 26803872000. Its totient is φ = 1715281920.

The previous prime is 7214360029. The next prime is 7214360071. The reversal of 7214360040 is 400634127.

7214360040 is a `hidden beast` number, since 7 + 2 + 14 + 3 + 600 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 7214359986 and 7214360013.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 338500 + ... + 359180.

It is an arithmetic number, because the mean of its divisors is an integer number (104702625).

Almost surely, 2^7214360040 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 7214360040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13401936000).

7214360040 is an abundant number, since it is smaller than the sum of its proper divisors (19589511960).

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

7214360040 is a wasteful number, since it uses less digits than its factorization.

7214360040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20737 (or 20727 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 7214360040 is about 84937.3889403247. The cubic root of 7214360040 is about 1932.2616635681.

Adding to 7214360040 its reverse (400634127), we get a palindrome (7614994167).

The spelling of 7214360040 in words is "seven billion, two hundred fourteen million, three hundred sixty thousand, forty".