4019972958768 has 160 divisors (see below), whose sum is σ = 11371608170496. Its totient is φ = 1216312602624.

The previous prime is 4019972958671. The next prime is 4019972958817. The reversal of 4019972958768 is 8678592799104.

It is a self number, because there is not a number n which added to its sum of digits gives 4019972958768.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8730571 + ... + 9179477.

Almost surely, 2^{4019972958768} is an apocalyptic number.

4019972958768 is a gapful number since it is divisible by the number (48) 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 4019972958768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5685804085248).

4019972958768 is an abundant number, since it is smaller than the sum of its proper divisors (7351635211728).

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

4019972958768 is a wasteful number, since it uses less digits than its factorization.

4019972958768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449171 (or 449165 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 75.

The spelling of 4019972958768 in words is "four trillion, nineteen billion, nine hundred seventy-two million, nine hundred fifty-eight thousand, seven hundred sixty-eight".