224021641440 has 48 divisors (see below), whose sum is σ = 705668172048. Its totient is φ = 59739104256.

The previous prime is 224021641439. The next prime is 224021641469. The reversal of 224021641440 is 44146120422.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 224021641398 and 224021641407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 233355397 + ... + 233356356.

It is an arithmetic number, because the mean of its divisors is an integer number (14701420251).

Almost surely, 2^224021641440 is an apocalyptic number.

224021641440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224021641440 is an abundant number, since it is smaller than the sum of its proper divisors (481646530608).

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

224021641440 is a wasteful number, since it uses less digits than its factorization.

224021641440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466711771 (or 466711763 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 224021641440 its reverse (44146120422), we get a palindrome (268167761862).

The spelling of 224021641440 in words is "two hundred twenty-four billion, twenty-one million, six hundred forty-one thousand, four hundred forty".