4250800270080 has 1620 divisors, whose sum is σ = 19163026591632. Its totient is φ = 896690995200.

The previous prime is 4250800270051. The next prime is 4250800270097. The reversal of 4250800270080 is 800720080524.

It is a happy number.

4250800270080 is a `hidden beast` number, since 4 + 2 + 508 + 0 + 0 + 2 + 70 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1620).

It is a super-2 number, since 2×4250800270080² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 858571605 + ... + 858576555.

Almost surely, 2^{4250800270080} is an apocalyptic number.

4250800270080 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 4250800270080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9581513295816).

4250800270080 is an abundant number, since it is smaller than the sum of its proper divisors (14912226321552).

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

4250800270080 is a wasteful number, since it uses less digits than its factorization.

4250800270080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5024 (or 4981 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 4250800270080 in words is "four trillion, two hundred fifty billion, eight hundred million, two hundred seventy thousand, eighty".