420861561120 has 2304 divisors, whose sum is σ = 2062691205120. Its totient is φ = 75873853440.

The previous prime is 420861561103. The next prime is 420861561167. The reversal of 420861561120 is 21165168024.

It is a happy number.

420861561120 is a `hidden beast` number, since 4 + 2 + 0 + 8 + 6 + 15 + 611 + 20 = 666.

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

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 383 ways as a sum of consecutive naturals, for example, 3313870497 + ... + 3313870623.

It is an arithmetic number, because the mean of its divisors is an integer number (895265280).

Almost surely, 2^420861561120 is an apocalyptic number.

420861561120 is a gapful number since it is divisible by the number (40) 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 420861561120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031345602560).

420861561120 is an abundant number, since it is smaller than the sum of its proper divisors (1641829644000).

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

420861561120 is a wasteful number, since it uses less digits than its factorization.

420861561120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 420861561120 in words is "four hundred twenty billion, eight hundred sixty-one million, five hundred sixty-one thousand, one hundred twenty".