221403400112400 has 480 divisors, whose sum is σ = 783375168101760. Its totient is φ = 53005393920000.

The previous prime is 221403400112399. The next prime is 221403400112407. The reversal of 221403400112400 is 4211004304122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (221403400112407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 518401344 + ... + 518828256.

It is an arithmetic number, because the mean of its divisors is an integer number (1632031600212).

Almost surely, 2^{221403400112400} is an apocalyptic number.

221403400112400 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 221403400112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391687584050880).

221403400112400 is an abundant number, since it is smaller than the sum of its proper divisors (561971767989360).

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

221403400112400 is a wasteful number, since it uses less digits than its factorization.

221403400112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427435 (or 427424 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 221403400112400 its reverse (4211004304122), we get a palindrome (225614404416522).

The spelling of 221403400112400 in words is "two hundred twenty-one trillion, four hundred three billion, four hundred million, one hundred twelve thousand, four hundred".