1344211400 has 48 divisors (see below), whose sum is σ = 3571765440. Its totient is φ = 460872000.

The previous prime is 1344211391. The next prime is 1344211409. The reversal of 1344211400 is 41124431.

1344211400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1344211391) and next prime (1344211409).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1344211409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 478676 + ... + 481475.

It is an arithmetic number, because the mean of its divisors is an integer number (74411780).

Almost surely, 2^1344211400 is an apocalyptic number.

1344211400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1344211400 is an abundant number, since it is smaller than the sum of its proper divisors (2227554040).

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

1344211400 is a wasteful number, since it uses less digits than its factorization.

1344211400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960174 (or 960165 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1344211400 is about 36663.4886501544. The cubic root of 1344211400 is about 1103.6275282900.

Adding to 1344211400 its reverse (41124431), we get a palindrome (1385335831).

It can be divided in two parts, 13442 and 11400, that added together give a palindrome (24842).

The spelling of 1344211400 in words is "one billion, three hundred forty-four million, two hundred eleven thousand, four hundred".