220400293050144 has 240 divisors, whose sum is σ = 651650764564800. Its totient is φ = 73074876019200.

The previous prime is 220400293050107. The next prime is 220400293050173. The reversal of 220400293050144 is 441050392004022.

It is a happy number.

220400293050144 is a `hidden beast` number, since 2 + 20 + 4 + 0 + 0 + 2 + 93 + 0 + 501 + 44 = 666.

220400293050144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 220400293050099 and 220400293050108.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1702617487 + ... + 1702746929.

It is an arithmetic number, because the mean of its divisors is an integer number (2715211519020).

Almost surely, 2^{220400293050144} is an apocalyptic number.

220400293050144 is a gapful number since it is divisible by the number (24) 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 220400293050144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325825382282400).

220400293050144 is an abundant number, since it is smaller than the sum of its proper divisors (431250471514656).

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

220400293050144 is a wasteful number, since it uses less digits than its factorization.

220400293050144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132965 (or 132948 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 220400293050144 in words is "two hundred twenty trillion, four hundred billion, two hundred ninety-three million, fifty thousand, one hundred forty-four".