424123200000000 has 702 divisors, whose sum is σ = 1531420252045242. Its totient is φ = 113095680000000.

The previous prime is 424123199999969. The next prime is 424123200000023. The reversal of 424123200000000 is 2321424.

It can be written as a sum of positive squares in 9 ways, for example, as 136066812493824 + 288056387506176 = 11664768^2 + 16972224^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 14399985274 + ... + 14400014726.

Almost surely, 2^{424123200000000} is an apocalyptic number.

424123200000000 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 424123200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765710126022621).

424123200000000 is an abundant number, since it is smaller than the sum of its proper divisors (1107297052045242).

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

424123200000000 is an frugal number, since it uses more digits than its factorization.

424123200000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29523 (or 29463 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 424123200000000 its reverse (2321424), we get a palindrome (424123202321424).

The spelling of 424123200000000 in words is "four hundred twenty-four trillion, one hundred twenty-three billion, two hundred million", and thus it is an aban number.