4249145379072 has 288 divisors, whose sum is σ = 13036400455680. Its totient is φ = 1216041615360.

The previous prime is 4249145379053. The next prime is 4249145379113. The reversal of 4249145379072 is 2709735419424.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15211608 + ... + 15488424.

It is an arithmetic number, because the mean of its divisors is an integer number (45265279360).

Almost surely, 2^{4249145379072} 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 4249145379072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6518200227840).

4249145379072 is an abundant number, since it is smaller than the sum of its proper divisors (8787255076608).

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

4249145379072 is a wasteful number, since it uses less digits than its factorization.

4249145379072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276949 (or 276935 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 57.

The spelling of 4249145379072 in words is "four trillion, two hundred forty-nine billion, one hundred forty-five million, three hundred seventy-nine thousand, seventy-two".