7114616994240 has 448 divisors, whose sum is σ = 28692623539200. Its totient is φ = 1625727946752.

The previous prime is 7114616994223. The next prime is 7114616994241. The reversal of 7114616994240 is 424996164117.

It is a happy number.

7114616994240 is a `hidden beast` number, since 7 + 1 + 14 + 616 + 9 + 9 + 4 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×7114616994240² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7114616994241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 236280306 + ... + 236310414.

Almost surely, 2^{7114616994240} is an apocalyptic number.

7114616994240 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 7114616994240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14346311769600).

7114616994240 is an abundant number, since it is smaller than the sum of its proper divisors (21578006544960).

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

7114616994240 is a wasteful number, since it uses less digits than its factorization.

7114616994240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34049 (or 34033 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 7114616994240 in words is "seven trillion, one hundred fourteen billion, six hundred sixteen million, nine hundred ninety-four thousand, two hundred forty".