4315629009920 has 176 divisors, whose sum is σ = 10490967033120. Its totient is φ = 1703209598976.

The previous prime is 4315629009889. The next prime is 4315629009959. The reversal of 4315629009920 is 299009265134.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 343786364 + ... + 343798916.

Almost surely, 2^{4315629009920} is an apocalyptic number.

4315629009920 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 4315629009920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5245483516560).

4315629009920 is an abundant number, since it is smaller than the sum of its proper divisors (6175338023200).

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

4315629009920 is a wasteful number, since it uses less digits than its factorization.

4315629009920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13470 (or 13452 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 50.

The spelling of 4315629009920 in words is "four trillion, three hundred fifteen billion, six hundred twenty-nine million, nine thousand, nine hundred twenty".