420242180886528 has 1664 divisors, whose sum is σ = 1550282686525440. Its totient is φ = 97732043735040.

The previous prime is 420242180886491. The next prime is 420242180886571. The reversal of 420242180886528 is 825688081242024.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 58020454875 + ... + 58020462117.

Almost surely, 2^{420242180886528} is an apocalyptic number.

420242180886528 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 420242180886528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775141343262720).

420242180886528 is an abundant number, since it is smaller than the sum of its proper divisors (1130040505638912).

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

420242180886528 is a wasteful number, since it uses less digits than its factorization.

420242180886528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7443 (or 7421 counting only the distinct ones).

The product of its (nonzero) digits is 31457280, while the sum is 60.

The spelling of 420242180886528 in words is "four hundred twenty trillion, two hundred forty-two billion, one hundred eighty million, eight hundred eighty-six thousand, five hundred twenty-eight".