4017669748992 has 144 divisors (see below), whose sum is σ = 12043710598080. Its totient is φ = 1320877559808.

The previous prime is 4017669748969. The next prime is 4017669749021. The reversal of 4017669748992 is 2998479667104.

4017669748992 is a `hidden beast` number, since 40 + 17 + 6 + 6 + 9 + 7 + 489 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×4017669748992² (a number of 26 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4017669748992.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3476658 + ... + 4485809.

Almost surely, 2^{4017669748992} is an apocalyptic number.

It is an amenable number.

4017669748992 is an abundant number, since it is smaller than the sum of its proper divisors (8026040849088).

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

4017669748992 is an equidigital number, since it uses as much as digits as its factorization.

4017669748992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7962565 (or 7962545 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 72.

The spelling of 4017669748992 in words is "four trillion, seventeen billion, six hundred sixty-nine million, seven hundred forty-eight thousand, nine hundred ninety-two".