420705224352 has 96 divisors (see below), whose sum is σ = 1402350768000. Its totient is φ = 120201490944.

The previous prime is 420705224347. The next prime is 420705224411. The reversal of 420705224352 is 253422507024.

420705224352 is a `hidden beast` number, since 4 + 20 + 70 + 522 + 43 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 34774477 + ... + 34786572.

It is an arithmetic number, because the mean of its divisors is an integer number (14607820500).

Almost surely, 2^420705224352 is an apocalyptic number.

420705224352 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

420705224352 is an abundant number, since it is smaller than the sum of its proper divisors (981645543648).

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

420705224352 is a wasteful number, since it uses less digits than its factorization.

420705224352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69561075 (or 69561061 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

The spelling of 420705224352 in words is "four hundred twenty billion, seven hundred five million, two hundred twenty-four thousand, three hundred fifty-two".