4249501873344 has 896 divisors, whose sum is σ = 16409643909120. Its totient is φ = 1046432120832.

The previous prime is 4249501873307. The next prime is 4249501873363. The reversal of 4249501873344 is 4433781059424.

4249501873344 is a `hidden beast` number, since 4 + 2 + 495 + 0 + 1 + 87 + 33 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 339492174 + ... + 339504690.

It is an arithmetic number, because the mean of its divisors is an integer number (18314334720).

Almost surely, 2^{4249501873344} 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 4249501873344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8204821954560).

4249501873344 is an abundant number, since it is smaller than the sum of its proper divisors (12160142035776).

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

4249501873344 is a wasteful number, since it uses less digits than its factorization.

4249501873344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12702 (or 12686 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 4249501873344 in words is "four trillion, two hundred forty-nine billion, five hundred one million, eight hundred seventy-three thousand, three hundred forty-four".