420353221075200 has 7776 divisors, whose sum is σ = 2002146788154240. Its totient is φ = 86684309913600.

The previous prime is 420353221075147. The next prime is 420353221075231. The reversal of 420353221075200 is 2570122353024.

420353221075200 is a `hidden beast` number, since 4 + 2 + 0 + 3 + 5 + 3 + 22 + 107 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7776).

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

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 4333538361552 + ... + 4333538361648.

Almost surely, 2^{420353221075200} is an apocalyptic number.

420353221075200 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 420353221075200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001073394077120).

420353221075200 is an abundant number, since it is smaller than the sum of its proper divisors (1581793567079040).

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

420353221075200 is a wasteful number, since it uses less digits than its factorization.

420353221075200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 420353221075200 in words is "four hundred twenty trillion, three hundred fifty-three billion, two hundred twenty-one million, seventy-five thousand, two hundred".