420854554368 has 216 divisors, whose sum is σ = 1221017943600. Its totient is φ = 139410358272.

The previous prime is 420854554361. The next prime is 420854554391. The reversal of 420854554368 is 863455458024.

420854554368 is a `hidden beast` number, since 4 + 2 + 0 + 8 + 54 + 554 + 36 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420854554361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 383640796 + ... + 383641892.

It is an arithmetic number, because the mean of its divisors is an integer number (5652860850).

Almost surely, 2^420854554368 is an apocalyptic number.

420854554368 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 420854554368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610508971800).

420854554368 is an abundant number, since it is smaller than the sum of its proper divisors (800163389232).

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

420854554368 is a wasteful number, since it uses less digits than its factorization.

420854554368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2007 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 18432000, while the sum is 54.

The spelling of 420854554368 in words is "four hundred twenty billion, eight hundred fifty-four million, five hundred fifty-four thousand, three hundred sixty-eight".