4225193280 has 1120 divisors, whose sum is σ = 19650090240. Its totient is φ = 836075520.

The previous prime is 4225193257. The next prime is 4225193293. The reversal of 4225193280 is 823915224.

It is a happy number.

4225193280 is a `hidden beast` number, since 42 + 251 + 93 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 57879324 + ... + 57879396.

Almost surely, 2^4225193280 is an apocalyptic number.

4225193280 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 4225193280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9825045120).

4225193280 is an abundant number, since it is smaller than the sum of its proper divisors (15424896960).

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

4225193280 is a wasteful number, since it uses less digits than its factorization.

4225193280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4225193280 is about 65001.4867522274. The cubic root of 4225193280 is about 1616.6482139578.

It can be divided in two parts, 42251 and 93280, that added together give a palindrome (135531).

The spelling of 4225193280 in words is "four billion, two hundred twenty-five million, one hundred ninety-three thousand, two hundred eighty".