420381635520 has 448 divisors, whose sum is σ = 1717744730112. Its totient is φ = 84533760000.

The previous prime is 420381635501. The next prime is 420381635539. The reversal of 420381635520 is 25536183024.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (420381635501) and next prime (420381635539).

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2199795 + ... + 2383245.

Almost surely, 2^420381635520 is an apocalyptic number.

420381635520 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 420381635520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858872365056).

420381635520 is an abundant number, since it is smaller than the sum of its proper divisors (1297363094592).

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

420381635520 is a wasteful number, since it uses less digits than its factorization.

420381635520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183520 (or 183510 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 420381635520 in words is "four hundred twenty billion, three hundred eighty-one million, six hundred thirty-five thousand, five hundred twenty".