1342010400 has 144 divisors (see below), whose sum is σ = 4421529504. Its totient is φ = 353505280.

The previous prime is 1342010291. The next prime is 1342010407. The reversal of 1342010400 is 40102431.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1342010400.

It is not an unprimeable number, because it can be changed into a prime (1342010407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195832 + ... + 202568.

It is an arithmetic number, because the mean of its divisors is an integer number (30705066).

Almost surely, 2^1342010400 is an apocalyptic number.

1342010400 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 1342010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2210764752).

1342010400 is an abundant number, since it is smaller than the sum of its proper divisors (3079519104).

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

1342010400 is a wasteful number, since it uses less digits than its factorization.

1342010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6843 (or 6830 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1342010400 is about 36633.4601150369. The cubic root of 1342010400 is about 1103.0248425358.

Adding to 1342010400 its reverse (40102431), we get a palindrome (1382112831).

The spelling of 1342010400 in words is "one billion, three hundred forty-two million, ten thousand, four hundred".