424787413615488 has 6144 divisors, whose sum is σ = 1805087047680000. Its totient is φ = 97298288640000.

The previous prime is 424787413615483. The next prime is 424787413615489. The reversal of 424787413615488 is 884516314787424.

424787413615488 is a `hidden beast` number, since 4 + 2 + 4 + 7 + 8 + 7 + 4 + 13 + 61 + 548 + 8 = 666.

It is a super-2 number, since 2×424787413615488² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424787413615483) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 5982921318493 + ... + 5982921318563.

It is an arithmetic number, because the mean of its divisors is an integer number (293796720000).

Almost surely, 2^{424787413615488} is an apocalyptic number.

424787413615488 is a gapful number since it is divisible by the number (48) 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 424787413615488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902543523840000).

424787413615488 is an abundant number, since it is smaller than the sum of its proper divisors (1380299634064512).

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

424787413615488 is a wasteful number, since it uses less digits than its factorization.

424787413615488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 185 counting only the distinct ones).

The product of its digits is 1156055040, while the sum is 72.

The spelling of 424787413615488 in words is "four hundred twenty-four trillion, seven hundred eighty-seven billion, four hundred thirteen million, six hundred fifteen thousand, four hundred eighty-eight".