7140738249216 has 1920 divisors, whose sum is σ = 26376663785472. Its totient is φ = 1914911539200.

The previous prime is 7140738249187. The next prime is 7140738249257. The reversal of 7140738249216 is 6129428370417.

7140738249216 is a `hidden beast` number, since 7 + 1 + 4 + 0 + 7 + 382 + 49 + 216 = 666.

It is a super-2 number, since 2×7140738249216² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 66735871435 + ... + 66735871541.

Almost surely, 2^{7140738249216} 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 7140738249216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13188331892736).

7140738249216 is an abundant number, since it is smaller than the sum of its proper divisors (19235925536256).

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

7140738249216 is a wasteful number, since it uses less digits than its factorization.

7140738249216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 7140738249216 in words is "seven trillion, one hundred forty billion, seven hundred thirty-eight million, two hundred forty-nine thousand, two hundred sixteen".