420263850528 has 144 divisors (see below), whose sum is σ = 1216235756736. Its totient is φ = 137624762880.

The previous prime is 420263850481. The next prime is 420263850533. The reversal of 420263850528 is 825058362024.

420263850528 is a `hidden beast` number, since 4 + 2 + 0 + 2 + 638 + 5 + 0 + 5 + 2 + 8 = 666.

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

It is a super-2 number, since 2×420263850528² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7168213 + ... + 7226603.

It is an arithmetic number, because the mean of its divisors is an integer number (8446081644).

Almost surely, 2^420263850528 is an apocalyptic number.

420263850528 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 420263850528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608117878368).

420263850528 is an abundant number, since it is smaller than the sum of its proper divisors (795971906208).

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

420263850528 is a wasteful number, since it uses less digits than its factorization.

420263850528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58847 (or 58836 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 420263850528 in words is "four hundred twenty billion, two hundred sixty-three million, eight hundred fifty thousand, five hundred twenty-eight".