220400409600 has 396 divisors, whose sum is σ = 901878297424. Its totient is φ = 50376867840.

The previous prime is 220400409577. The next prime is 220400409613. The reversal of 220400409600 is 6904004022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1544472 + ... + 1681128.

Almost surely, 2^220400409600 is an apocalyptic number.

220400409600 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 220400409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450939148712).

220400409600 is an abundant number, since it is smaller than the sum of its proper divisors (681477887824).

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

220400409600 is a wasteful number, since it uses less digits than its factorization.

220400409600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136700 (or 136674 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 220400409600 in words is "two hundred twenty billion, four hundred million, four hundred nine thousand, six hundred".