4265088187680 has 144 divisors (see below), whose sum is σ = 14558594090040. Its totient is φ = 1137045786624.

The previous prime is 4265088187649. The next prime is 4265088187697. The reversal of 4265088187680 is 867818805624.

4265088187680 is a `hidden beast` number, since 42 + 6 + 508 + 8 + 1 + 8 + 7 + 6 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2766353991696 + 1498734195984 = 1663236^2 + 1224228^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4885926 + ... + 5692314.

Almost surely, 2^{4265088187680} is an apocalyptic number.

4265088187680 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 4265088187680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7279297045020).

4265088187680 is an abundant number, since it is smaller than the sum of its proper divisors (10293505902360).

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

4265088187680 is a wasteful number, since it uses less digits than its factorization.

4265088187680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810083 (or 810072 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 4265088187680 in words is "four trillion, two hundred sixty-five billion, eighty-eight million, one hundred eighty-seven thousand, six hundred eighty".