4069884958272 has 840 divisors, whose sum is σ = 14772150068544. Its totient is φ = 1084946835456.

The previous prime is 4069884958213. The next prime is 4069884958283. The reversal of 4069884958272 is 2728594889604.

4069884958272 is a `hidden beast` number, since 4 + 0 + 69 + 8 + 8 + 495 + 8 + 2 + 72 = 666.

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 4069884958272.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 877695538 + ... + 877700174.

Almost surely, 2^{4069884958272} is an apocalyptic number.

4069884958272 is a gapful number since it is divisible by the number (42) 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 4069884958272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7386075034272).

4069884958272 is an abundant number, since it is smaller than the sum of its proper divisors (10702265110272).

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

4069884958272 is a wasteful number, since it uses less digits than its factorization.

4069884958272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4773 (or 4735 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 4069884958272 in words is "four trillion, sixty-nine billion, eight hundred eighty-four million, nine hundred fifty-eight thousand, two hundred seventy-two".