22314121440 has 96 divisors (see below), whose sum is σ = 75696386976. Its totient is φ = 5492705280.

The previous prime is 22314121421. The next prime is 22314121457. The reversal of 22314121440 is 4412141322.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×22314121440³ (a number of 32 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 22314121440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1781751 + ... + 1794230.

It is an arithmetic number, because the mean of its divisors is an integer number (788504031).

Almost surely, 2^22314121440 is an apocalyptic number.

22314121440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22314121440 is an abundant number, since it is smaller than the sum of its proper divisors (53382265536).

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

22314121440 is a wasteful number, since it uses less digits than its factorization.

22314121440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3576012 (or 3576004 counting only the distinct ones).

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

Adding to 22314121440 its reverse (4412141322), we get a palindrome (26726262762).

The spelling of 22314121440 in words is "twenty-two billion, three hundred fourteen million, one hundred twenty-one thousand, four hundred forty".