7214538240 has 1280 divisors, whose sum is σ = 33437859840. Its totient is φ = 1433272320.

The previous prime is 7214538197. The next prime is 7214538269. The reversal of 7214538240 is 428354127.

It is a happy number.

7214538240 is a `hidden beast` number, since 72 + 14 + 538 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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 = 7214538195 and 7214538204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 194987502 + ... + 194987538.

It is an arithmetic number, because the mean of its divisors is an integer number (26123328).

Almost surely, 2^7214538240 is an apocalyptic number.

7214538240 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 7214538240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16718929920).

7214538240 is an abundant number, since it is smaller than the sum of its proper divisors (26223321600).

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

7214538240 is a wasteful number, since it uses less digits than its factorization.

7214538240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 7214538240 is about 84938.4379418411. The cubic root of 7214538240 is about 1932.2775728653.

The spelling of 7214538240 in words is "seven billion, two hundred fourteen million, five hundred thirty-eight thousand, two hundred forty".