4249952883072 has 1280 divisors, whose sum is σ = 15557762404800. Its totient is φ = 1137062707200.

The previous prime is 4249952883041. The next prime is 4249952883139. The reversal of 4249952883072 is 2703882599424.

4249952883072 is a `hidden beast` number, since 4 + 2 + 4 + 9 + 9 + 528 + 8 + 30 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1784943322 + ... + 1784945702.

Almost surely, 2^{4249952883072} 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 4249952883072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7778881202400).

4249952883072 is an abundant number, since it is smaller than the sum of its proper divisors (11307809521728).

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

4249952883072 is a wasteful number, since it uses less digits than its factorization.

4249952883072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2497 (or 2476 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 4249952883072 in words is "four trillion, two hundred forty-nine billion, nine hundred fifty-two million, eight hundred eighty-three thousand, seventy-two".