4122240133440 has 224 divisors, whose sum is σ = 15376244478336. Its totient is φ = 922459299840.

The previous prime is 4122240133433. The next prime is 4122240133441. The reversal of 4122240133440 is 443310422214.

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 = 4122240133398 and 4122240133407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4122240133441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14876707 + ... + 15151266.

It is an arithmetic number, because the mean of its divisors is an integer number (68643948564).

Almost surely, 2^{4122240133440} is an apocalyptic number.

4122240133440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4122240133440 is an abundant number, since it is smaller than the sum of its proper divisors (11254004344896).

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

4122240133440 is a wasteful number, since it uses less digits than its factorization.

4122240133440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30028017 (or 30028007 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 4122240133440 its reverse (443310422214), we get a palindrome (4565550555654).

The spelling of 4122240133440 in words is "four trillion, one hundred twenty-two billion, two hundred forty million, one hundred thirty-three thousand, four hundred forty".