7314141240 has 640 divisors, whose sum is σ = 29573406720. Its totient is φ = 1586304000.

The previous prime is 7314141239. The next prime is 7314141361. The reversal of 7314141240 is 421414137.

7314141240 is a `hidden beast` number, since 7 + 3 + 1 + 414 + 1 + 240 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 71011029 + ... + 71011131.

It is an arithmetic number, because the mean of its divisors is an integer number (46208448).

Almost surely, 2^7314141240 is an apocalyptic number.

7314141240 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 7314141240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14786703360).

7314141240 is an abundant number, since it is smaller than the sum of its proper divisors (22259265480).

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

7314141240 is a wasteful number, since it uses less digits than its factorization.

7314141240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 252 counting only the distinct ones).

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

The square root of 7314141240 is about 85522.7527620574. The cubic root of 7314141240 is about 1941.1292217766.

Adding to 7314141240 its reverse (421414137), we get a palindrome (7735555377).

The spelling of 7314141240 in words is "seven billion, three hundred fourteen million, one hundred forty-one thousand, two hundred forty".