4097067077376 has 1728 divisors, whose sum is σ = 16234914447360. Its totient is φ = 1006634926080.

The previous prime is 4097067077357. The next prime is 4097067077381. The reversal of 4097067077376 is 6737707607904.

4097067077376 is a `hidden beast` number, since 40 + 97 + 0 + 6 + 70 + 77 + 376 = 666.

4097067077376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9505955881 + ... + 9505956311.

It is an arithmetic number, because the mean of its divisors is an integer number (9395205120).

Almost surely, 2^{4097067077376} 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 4097067077376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8117457223680).

4097067077376 is an abundant number, since it is smaller than the sum of its proper divisors (12137847369984).

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

4097067077376 is a wasteful number, since it uses less digits than its factorization.

4097067077376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 65345616, while the sum is 63.

The spelling of 4097067077376 in words is "four trillion, ninety-seven billion, sixty-seven million, seventy-seven thousand, three hundred seventy-six".