424231134687360 has 4096 divisors, whose sum is σ = 2057905833984000. Its totient is φ = 79743025152000.

The previous prime is 424231134687341. The next prime is 424231134687379. The reversal of 424231134687360 is 63786431132424.

424231134687360 is a `hidden beast` number, since 4 + 2 + 4 + 2 + 3 + 113 + 468 + 7 + 3 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (424231134687341) and next prime (424231134687379).

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 = 424231134687297 and 424231134687306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 605179935010 + ... + 605179935710.

It is an arithmetic number, because the mean of its divisors is an integer number (502418416500).

Almost surely, 2^{424231134687360} is an apocalyptic number.

424231134687360 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 424231134687360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028952916992000).

424231134687360 is an abundant number, since it is smaller than the sum of its proper divisors (1633674699296640).

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

424231134687360 is a wasteful number, since it uses less digits than its factorization.

424231134687360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 424231134687360 in words is "four hundred twenty-four trillion, two hundred thirty-one billion, one hundred thirty-four million, six hundred eighty-seven thousand, three hundred sixty".