421201544504004 has 384 divisors, whose sum is σ = 1328207366707200. Its totient is φ = 113766084956160.

The previous prime is 421201544503973. The next prime is 421201544504063. The reversal of 421201544504004 is 400405445102124.

421201544504004 is a `hidden beast` number, since 4 + 2 + 1 + 20 + 1 + 544 + 50 + 40 + 0 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 421201544504004.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1096107367 + ... + 1096491569.

It is an arithmetic number, because the mean of its divisors is an integer number (3458873350800).

Almost surely, 2^{421201544504004} is an apocalyptic number.

421201544504004 is a gapful number since it is divisible by the number (44) 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 421201544504004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664103683353600).

421201544504004 is an abundant number, since it is smaller than the sum of its proper divisors (907005822203196).

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

421201544504004 is a wasteful number, since it uses less digits than its factorization.

421201544504004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387120 (or 387112 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

Adding to 421201544504004 its reverse (400405445102124), we get a palindrome (821606989606128).

The spelling of 421201544504004 in words is "four hundred twenty-one trillion, two hundred one billion, five hundred forty-four million, five hundred four thousand, four".