421176957118320 has 1280 divisors, whose sum is σ = 1520673350676480. Its totient is φ = 95616792133632.

The previous prime is 421176957118271. The next prime is 421176957118381. The reversal of 421176957118320 is 23811759671124.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 306756705154 + ... + 306756706526.

It is an arithmetic number, because the mean of its divisors is an integer number (1188026055216).

It is a 1-persistent number, because it is pandigital, but 2⋅421176957118320 = 842353914236640 is not.

Almost surely, 2^{421176957118320} is an apocalyptic number.

421176957118320 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 421176957118320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760336675338240).

421176957118320 is an abundant number, since it is smaller than the sum of its proper divisors (1099496393558160).

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

421176957118320 is a wasteful number, since it uses less digits than its factorization.

421176957118320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2674 (or 2668 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 57.

The spelling of 421176957118320 in words is "four hundred twenty-one trillion, one hundred seventy-six billion, nine hundred fifty-seven million, one hundred eighteen thousand, three hundred twenty".