7977191040000 has 4400 divisors, whose sum is σ = 38998219075200. Its totient is φ = 1576599552000.

The previous prime is 7977191039977. The next prime is 7977191040017. The reversal of 7977191040000 is 401917797.

7977191040000 is a `hidden beast` number, since 7 + 97 + 71 + 91 + 0 + 400 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 89631359956 + ... + 89631360044.

It is an arithmetic number, because the mean of its divisors is an integer number (8863231608).

Almost surely, 2^{7977191040000} is an apocalyptic number.

7977191040000 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 7977191040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19499109537600).

7977191040000 is an abundant number, since it is smaller than the sum of its proper divisors (31021028035200).

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

7977191040000 is a wasteful number, since it uses less digits than its factorization.

7977191040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 45.

Adding to 7977191040000 its reverse (401917797), we get a palindrome (7977592957797).

The spelling of 7977191040000 in words is "seven trillion, nine hundred seventy-seven billion, one hundred ninety-one million, forty thousand".