424411688320 has 128 divisors (see below), whose sum is σ = 1071873813600. Its totient is φ = 160247808000.

The previous prime is 424411688303. The next prime is 424411688329. The reversal of 424411688320 is 23886114424.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424411688329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3305320 + ... + 3431320.

Almost surely, 2^424411688320 is an apocalyptic number.

424411688320 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 424411688320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535936906800).

424411688320 is an abundant number, since it is smaller than the sum of its proper divisors (647462125280).

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

424411688320 is a wasteful number, since it uses less digits than its factorization.

424411688320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126316 (or 126304 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 43.

The spelling of 424411688320 in words is "four hundred twenty-four billion, four hundred eleven million, six hundred eighty-eight thousand, three hundred twenty".