420339752928 has 144 divisors (see below), whose sum is σ = 1220133423600. Its totient is φ = 137224919040.

The previous prime is 420339752927. The next prime is 420339752971. The reversal of 420339752928 is 829257933024.

420339752928 is a `hidden beast` number, since 4 + 2 + 0 + 3 + 3 + 97 + 529 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420339752927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4524868 + ... + 4616828.

It is an arithmetic number, because the mean of its divisors is an integer number (8473148775).

Almost surely, 2^420339752928 is an apocalyptic number.

420339752928 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 420339752928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610066711800).

420339752928 is an abundant number, since it is smaller than the sum of its proper divisors (799793670672).

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

420339752928 is a wasteful number, since it uses less digits than its factorization.

420339752928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92305 (or 92294 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 420339752928 in words is "four hundred twenty billion, three hundred thirty-nine million, seven hundred fifty-two thousand, nine hundred twenty-eight".