1234141440 has 288 divisors, whose sum is σ = 4601452800. Its totient is φ = 281788416.

The previous prime is 1234141427. The next prime is 1234141471. The reversal of 1234141440 is 441414321.

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 1234141440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1316652 + ... + 1317588.

Almost surely, 2^1234141440 is an apocalyptic number.

1234141440 is a gapful number since it is divisible by the number (10) 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 1234141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2300726400).

1234141440 is an abundant number, since it is smaller than the sum of its proper divisors (3367311360).

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

1234141440 is an frugal number, since it uses more digits than its factorization.

1234141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 954 counting only the distinct ones).

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

The square root of 1234141440 is about 35130.3492723884. The cubic root of 1234141440 is about 1072.6424455309.

Adding to 1234141440 its reverse (441414321), we get a palindrome (1675555761).

The spelling of 1234141440 in words is "one billion, two hundred thirty-four million, one hundred forty-one thousand, four hundred forty".