4254262022160 has 480 divisors, whose sum is σ = 14983669733760. Its totient is φ = 1121693184000.

The previous prime is 4254262022159. The next prime is 4254262022189. The reversal of 4254262022160 is 612202624524.

4254262022160 is a `hidden beast` number, since 4 + 2 + 5 + 4 + 2 + 620 + 2 + 21 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2471970100 + ... + 2471971820.

It is an arithmetic number, because the mean of its divisors is an integer number (31215978612).

Almost surely, 2^{4254262022160} is an apocalyptic number.

4254262022160 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 4254262022160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7491834866880).

4254262022160 is an abundant number, since it is smaller than the sum of its proper divisors (10729407711600).

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

4254262022160 is a wasteful number, since it uses less digits than its factorization.

4254262022160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3109 (or 3091 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 4254262022160 its reverse (612202624524), we get a palindrome (4866464646684).

The spelling of 4254262022160 in words is "four trillion, two hundred fifty-four billion, two hundred sixty-two million, twenty-two thousand, one hundred sixty".