4298024972160 has 1024 divisors, whose sum is σ = 16503201792000. Its totient is φ = 1053636304896.

The previous prime is 4298024972147. The next prime is 4298024972161. The reversal of 4298024972160 is 612794208924.

It is a happy number.

4298024972160 is a `hidden beast` number, since 4 + 2 + 98 + 0 + 2 + 497 + 2 + 1 + 60 = 666.

It is a super-2 number, since 2×4298024972160² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4298024972097 and 4298024972106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4298024972161) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 2357665009 + ... + 2357666831.

It is an arithmetic number, because the mean of its divisors is an integer number (16116408000).

Almost surely, 2^{4298024972160} is an apocalyptic number.

4298024972160 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 4298024972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8251600896000).

4298024972160 is an abundant number, since it is smaller than the sum of its proper divisors (12205176819840).

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

4298024972160 is a wasteful number, since it uses less digits than its factorization.

4298024972160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 4298024972160 in words is "four trillion, two hundred ninety-eight billion, twenty-four million, nine hundred seventy-two thousand, one hundred sixty".