420023514456 has 384 divisors, whose sum is σ = 1454292403200. Its totient is φ = 106517376000.

The previous prime is 420023514439. The next prime is 420023514467. The reversal of 420023514456 is 654415320024.

420023514456 is a `hidden beast` number, since 4 + 200 + 2 + 3 + 5 + 1 + 445 + 6 = 666.

It is a super-3 number, since 3×420023514456³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 420023514456.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47687605 + ... + 47696411.

It is an arithmetic number, because the mean of its divisors is an integer number (3787219800).

Almost surely, 2^420023514456 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 420023514456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727146201600).

420023514456 is an abundant number, since it is smaller than the sum of its proper divisors (1034268888744).

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

420023514456 is a wasteful number, since it uses less digits than its factorization.

420023514456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9119 (or 9112 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 420023514456 in words is "four hundred twenty billion, twenty-three million, five hundred fourteen thousand, four hundred fifty-six".