220407663132800 has 192 divisors, whose sum is σ = 639663884516160. Its totient is φ = 73982991667200.

The previous prime is 220407663132799. The next prime is 220407663132809. The reversal of 220407663132800 is 8231366704022.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (220407663132809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240372452 + ... + 241287651.

It is an arithmetic number, because the mean of its divisors is an integer number (3331582731855).

Almost surely, 2^{220407663132800} is an apocalyptic number.

220407663132800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220407663132800 is an abundant number, since it is smaller than the sum of its proper divisors (419256221383360).

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

220407663132800 is a wasteful number, since it uses less digits than its factorization.

220407663132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481660151 (or 481660134 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 44.

The spelling of 220407663132800 in words is "two hundred twenty trillion, four hundred seven billion, six hundred sixty-three million, one hundred thirty-two thousand, eight hundred".