1342400024 has 64 divisors (see below), whose sum is σ = 3048494400. Its totient is φ = 541900800.

The previous prime is 1342400021. The next prime is 1342400057. The reversal of 1342400024 is 4200042431.

It is a junction number, because it is equal to n+sod(n) for n = 1342399969 and 1342400005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1342400021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56504 + ... + 76664.

It is an arithmetic number, because the mean of its divisors is an integer number (47632725).

Almost surely, 2^1342400024 is an apocalyptic number.

1342400024 is a gapful number since it is divisible by the number (14) 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 1342400024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524247200).

1342400024 is an abundant number, since it is smaller than the sum of its proper divisors (1706094376).

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

1342400024 is a wasteful number, since it uses less digits than its factorization.

1342400024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20244 (or 20240 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 1342400024 is about 36638.7775996962. Note that the first 3 decimals coincide. The cubic root of 1342400024 is about 1103.1315787595.

Adding to 1342400024 its reverse (4200042431), we get a palindrome (5542442455).

The spelling of 1342400024 in words is "one billion, three hundred forty-two million, four hundred thousand, twenty-four".