420996994080 has 192 divisors, whose sum is σ = 1428507239040. Its totient is φ = 103604207616.

The previous prime is 420996994079. The next prime is 420996994081. The reversal of 420996994080 is 80499699024.

It is an interprime number because it is at equal distance from previous prime (420996994079) and next prime (420996994081).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (420996994081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41297464 + ... + 41307656.

It is an arithmetic number, because the mean of its divisors is an integer number (7440141870).

Almost surely, 2^420996994080 is an apocalyptic number.

420996994080 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 420996994080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714253619520).

420996994080 is an abundant number, since it is smaller than the sum of its proper divisors (1007510244960).

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

420996994080 is a wasteful number, since it uses less digits than its factorization.

420996994080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16843 (or 16835 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 60.

The spelling of 420996994080 in words is "four hundred twenty billion, nine hundred ninety-six million, nine hundred ninety-four thousand, eighty".