420543903048192 has 800 divisors, whose sum is σ = 1581075228458880. Its totient is φ = 108105998008320.

The previous prime is 420543903048173. The next prime is 420543903048229. The reversal of 420543903048192 is 291840309345024.

It is a happy number.

420543903048192 is a `hidden beast` number, since 4 + 2 + 0 + 5 + 43 + 9 + 0 + 30 + 481 + 92 = 666.

It is a super-2 number, since 2×420543903048192² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 309075534 + ... + 310433202.

Almost surely, 2^{420543903048192} is an apocalyptic number.

420543903048192 is a gapful number since it is divisible by the number (42) 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 420543903048192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790537614229440).

420543903048192 is an abundant number, since it is smaller than the sum of its proper divisors (1160531325410688).

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

420543903048192 is a wasteful number, since it uses less digits than its factorization.

420543903048192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357814 (or 1357789 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 420543903048192 in words is "four hundred twenty trillion, five hundred forty-three billion, nine hundred three million, forty-eight thousand, one hundred ninety-two".