421978252734720 has 5184 divisors, whose sum is σ = 1832741453168640. Its totient is φ = 91738386432000.

The previous prime is 421978252734691. The next prime is 421978252734721. The reversal of 421978252734720 is 27437252879124.

421978252734720 is a `hidden beast` number, since 4 + 2 + 1 + 9 + 7 + 8 + 2 + 527 + 34 + 72 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (421978252734721) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 3322663407297 + ... + 3322663407423.

It is an arithmetic number, because the mean of its divisors is an integer number (353538088960).

Almost surely, 2^{421978252734720} is an apocalyptic number.

421978252734720 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 421978252734720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916370726584320).

421978252734720 is an abundant number, since it is smaller than the sum of its proper divisors (1410763200433920).

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

421978252734720 is a wasteful number, since it uses less digits than its factorization.

421978252734720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

The spelling of 421978252734720 in words is "four hundred twenty-one trillion, nine hundred seventy-eight billion, two hundred fifty-two million, seven hundred thirty-four thousand, seven hundred twenty".