7940204181072 has 50 divisors (see below), whose sum is σ = 22981254543258. Its totient is φ = 2646734726592.

The previous prime is 7940204180989. The next prime is 7940204181073. The reversal of 7940204181072 is 2701814020497.

7940204181072 is a `hidden beast` number, since 79 + 40 + 20 + 418 + 107 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7763824340496 + 176379840576 = 2786364^2 + 419976^2 .

It is a super-2 number, since 2×7940204181072² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7940204181073) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3063349083 + ... + 3063351674.

Almost surely, 2^{7940204181072} is an apocalyptic number.

7940204181072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

7940204181072 is an abundant number, since it is smaller than the sum of its proper divisors (15041050362186).

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

7940204181072 is a wasteful number, since it uses less digits than its factorization.

7940204181072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6126700777 (or 6126700762 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 7940204181072 in words is "seven trillion, nine hundred forty billion, two hundred four million, one hundred eighty-one thousand, seventy-two".