420630553728 has 1152 divisors, whose sum is σ = 1595517880320. Its totient is φ = 104011776000.

The previous prime is 420630553727. The next prime is 420630553729. The reversal of 420630553728 is 827355036024.

420630553728 is a `hidden beast` number, since 4 + 2 + 0 + 630 + 5 + 5 + 3 + 7 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (420630553727) and next prime (420630553729).

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (420630553723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2202254113 + ... + 2202254303.

It is an arithmetic number, because the mean of its divisors is an integer number (1384998160).

Almost surely, 2^420630553728 is an apocalyptic number.

420630553728 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 420630553728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797758940160).

420630553728 is an abundant number, since it is smaller than the sum of its proper divisors (1174887326592).

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

420630553728 is a wasteful number, since it uses less digits than its factorization.

420630553728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 420630553728 in words is "four hundred twenty billion, six hundred thirty million, five hundred fifty-three thousand, seven hundred twenty-eight".