420363251312004 has 720 divisors, whose sum is σ = 1505460033369600. Its totient is φ = 99510550064640.

The previous prime is 420363251311967. The next prime is 420363251312051. The reversal of 420363251312004 is 400213152363024.

420363251312004 is a `hidden beast` number, since 4 + 2 + 0 + 3 + 632 + 5 + 1 + 3 + 12 + 0 + 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 420363251312004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 281091802 + ... + 282583310.

Almost surely, 2^{420363251312004} is an apocalyptic number.

420363251312004 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 420363251312004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752730016684800).

420363251312004 is an abundant number, since it is smaller than the sum of its proper divisors (1085096782057596).

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

420363251312004 is a wasteful number, since it uses less digits than its factorization.

420363251312004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491646 (or 1491624 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 420363251312004 in words is "four hundred twenty trillion, three hundred sixty-three billion, two hundred fifty-one million, three hundred twelve thousand, four".