420051756996 has 81 divisors (see below), whose sum is σ = 1072710579213. Its totient is φ = 138592697760.

The previous prime is 420051756991. The next prime is 420051757001. The reversal of 420051756996 is 699657150024.

The square root of 420051756996 is 648114.

It is a perfect power (a square), and thus also a powerful number.

420051756996 is a `hidden beast` number, since 4 + 20 + 0 + 51 + 7 + 569 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (420051756991) and next prime (420051757001).

It can be written as a sum of positive squares in only one way, i.e., 292774059396 + 127277697600 = 541086^2 + 356760^2 .

It is not an unprimeable number, because it can be changed into a prime (420051756991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 423866061 + ... + 423867051.

Almost surely, 2^420051756996 is an apocalyptic number.

420051756996 is the 648114-th square number.

It is an amenable number.

420051756996 is an abundant number, since it is smaller than the sum of its proper divisors (652658822217).

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

420051756996 is an equidigital number, since it uses as much as digits as its factorization.

420051756996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 420051756996 in words is "four hundred twenty billion, fifty-one million, seven hundred fifty-six thousand, nine hundred ninety-six".