424851097680 has 400 divisors, whose sum is σ = 1564146294480. Its totient is φ = 106508058624.

The previous prime is 424851097637. The next prime is 424851097681. The reversal of 424851097680 is 86790158424.

It is a happy number.

424851097680 is a `hidden beast` number, since 4 + 2 + 48 + 510 + 9 + 7 + 6 + 80 = 666.

424851097680 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 12286392336 + 412564705344 = 110844^2 + 642312^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424851097681) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 134063136 + ... + 134066304.

Almost surely, 2^424851097680 is an apocalyptic number.

424851097680 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 424851097680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782073147240).

424851097680 is an abundant number, since it is smaller than the sum of its proper divisors (1139295196800).

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

424851097680 is a wasteful number, since it uses less digits than its factorization.

424851097680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4428 (or 4413 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 424851097680 in words is "four hundred twenty-four billion, eight hundred fifty-one million, ninety-seven thousand, six hundred eighty".