223100040000400 has 240 divisors, whose sum is σ = 556221153317760. Its totient is φ = 85892721868800.

The previous prime is 223100040000347. The next prime is 223100040000403. The reversal of 223100040000400 is 4000040001322.

It is a super-3 number, since 3×223100040000400³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (223100040000403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4781067469 + ... + 4781114131.

It is an arithmetic number, because the mean of its divisors is an integer number (2317588138824).

Almost surely, 2^{223100040000400} is an apocalyptic number.

223100040000400 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 223100040000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278110576658880).

223100040000400 is an abundant number, since it is smaller than the sum of its proper divisors (333121113317360).

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

223100040000400 is a wasteful number, since it uses less digits than its factorization.

223100040000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47994 (or 47983 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 223100040000400 its reverse (4000040001322), we get a palindrome (227100080001722).

The spelling of 223100040000400 in words is "two hundred twenty-three trillion, one hundred billion, forty million, four hundred", and thus it is an aban number.