424261297152 has 1232 divisors, whose sum is σ = 1624653527424. Its totient is φ = 108391219200.

The previous prime is 424261297121. The next prime is 424261297157. The reversal of 424261297152 is 251792162424.

424261297152 is a `hidden beast` number, since 4 + 24 + 2 + 612 + 9 + 7 + 1 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1232).

It is a super-2 number, since 2×424261297152² (a number of 24 digits) contains 22 as substring.

Its product of digits (483840) is a multiple of the sum of its prime divisors (84).

It is a junction number, because it is equal to n+sod(n) for n = 424261297098 and 424261297107.

It is not an unprimeable number, because it can be changed into a prime (424261297157) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 6955103202 + ... + 6955103262.

Almost surely, 2^424261297152 is an apocalyptic number.

424261297152 is a gapful number since it is divisible by the number (42) 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 424261297152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812326763712).

424261297152 is an abundant number, since it is smaller than the sum of its proper divisors (1200392230272).

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

424261297152 is an frugal number, since it uses more digits than its factorization.

424261297152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 84 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 424261297152 in words is "four hundred twenty-four billion, two hundred sixty-one million, two hundred ninety-seven thousand, one hundred fifty-two".