220661472101400 has 1152 divisors, whose sum is σ = 872083075968000. Its totient is φ = 49406688460800.

The previous prime is 220661472101347. The next prime is 220661472101419. The reversal of 220661472101400 is 4101274166022.

220661472101400 is a `hidden beast` number, since 2 + 2 + 0 + 6 + 6 + 147 + 2 + 101 + 400 = 666.

It is a super-3 number, since 3×220661472101400³ (a number of 44 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4889765637 + ... + 4889810763.

It is an arithmetic number, because the mean of its divisors is an integer number (757016559000).

Almost surely, 2^{220661472101400} is an apocalyptic number.

220661472101400 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 220661472101400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436041537984000).

220661472101400 is an abundant number, since it is smaller than the sum of its proper divisors (651421603866600).

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

220661472101400 is a wasteful number, since it uses less digits than its factorization.

220661472101400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45449 (or 45437 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 220661472101400 in words is "two hundred twenty trillion, six hundred sixty-one billion, four hundred seventy-two million, one hundred one thousand, four hundred".