420023020320024 has 48 divisors (see below), whose sum is σ = 1154195489730360. Its totient is φ = 127279703126400.

The previous prime is 420023020320019. The next prime is 420023020320161.

It is a happy number.

420023020320024 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 420023020319976 and 420023020320003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72318010237 + ... + 72318016044.

Almost surely, 2^{420023020320024} is an apocalyptic number.

420023020320024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

420023020320024 is an abundant number, since it is smaller than the sum of its proper divisors (734172469410336).

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

420023020320024 is a wasteful number, since it uses less digits than its factorization.

420023020320024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144636026312 (or 144636026297 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The spelling of 420023020320024 in words is "four hundred twenty trillion, twenty-three billion, twenty million, three hundred twenty thousand, twenty-four".