4145792990976 has 1728 divisors, whose sum is σ = 16088601984000. Its totient is φ = 1017169477632.

The previous prime is 4145792990951. The next prime is 4145792990993. The reversal of 4145792990976 is 6790992975414.

4145792990976 is a `hidden beast` number, since 41 + 4 + 579 + 2 + 9 + 9 + 0 + 9 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13078211170 + ... + 13078211486.

Almost surely, 2^{4145792990976} 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 4145792990976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8044300992000).

4145792990976 is an abundant number, since it is smaller than the sum of its proper divisors (11942808993024).

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

4145792990976 is a wasteful number, since it uses less digits than its factorization.

4145792990976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 308629440, while the sum is 72.

The spelling of 4145792990976 in words is "four trillion, one hundred forty-five billion, seven hundred ninety-two million, nine hundred ninety thousand, nine hundred seventy-six".