420638472576 has 256 divisors, whose sum is σ = 1447779840000. Its totient is φ = 120182082048.

The previous prime is 420638472557. The next prime is 420638472577. The reversal of 420638472576 is 675274836024.

420638472576 is a `hidden beast` number, since 4 + 2 + 0 + 6 + 384 + 7 + 257 + 6 = 666.

It is a super-2 number, since 2×420638472576² (a number of 24 digits) contains 22 as substring.

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 (420638472577) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1007985 + ... + 1362831.

It is an arithmetic number, because the mean of its divisors is an integer number (5655390000).

Almost surely, 2^420638472576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420638472576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723889920000).

420638472576 is an abundant number, since it is smaller than the sum of its proper divisors (1027141367424).

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

420638472576 is an equidigital number, since it uses as much as digits as its factorization.

420638472576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354891 (or 354859 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 420638472576 in words is "four hundred twenty billion, six hundred thirty-eight million, four hundred seventy-two thousand, five hundred seventy-six".