220198406400 has 1296 divisors, whose sum is σ = 944721756160. Its totient is φ = 47875276800.

The previous prime is 220198406387. The next prime is 220198406423. The reversal of 220198406400 is 4604891022.

220198406400 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 9 + 8 + 4 + 0 + 640 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 987436689 + ... + 987436911.

Almost surely, 2^220198406400 is an apocalyptic number.

220198406400 is a gapful number since it is divisible by the number (20) 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 220198406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472360878080).

220198406400 is an abundant number, since it is smaller than the sum of its proper divisors (724523349760).

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

220198406400 is a wasteful number, since it uses less digits than its factorization.

220198406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 220198406400 in words is "two hundred twenty billion, one hundred ninety-eight million, four hundred six thousand, four hundred".