4249610805000 has 320 divisors, whose sum is σ = 14490401587200. Its totient is φ = 1029659040000.

The previous prime is 4249610804983. The next prime is 4249610805053. The reversal of 4249610805000 is 5080169424.

It is a self number, because there is not a number n which added to its sum of digits gives 4249610805000.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 369429249 + ... + 369440751.

It is an arithmetic number, because the mean of its divisors is an integer number (45282504960).

Almost surely, 2^{4249610805000} is an apocalyptic number.

4249610805000 is a gapful number since it is divisible by the number (40) 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 4249610805000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7245200793600).

4249610805000 is an abundant number, since it is smaller than the sum of its proper divisors (10240790782200).

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

4249610805000 is a wasteful number, since it uses less digits than its factorization.

4249610805000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13782 (or 13763 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

It can be divided in two parts, 4249610 and 805000, that added together give a triangular number (5054610 = T₃₁₇₉).

The spelling of 4249610805000 in words is "four trillion, two hundred forty-nine billion, six hundred ten million, eight hundred five thousand".