1444340400 has 240 divisors, whose sum is σ = 4954423968. Its totient is φ = 358400000.

The previous prime is 1444340363. The next prime is 1444340419. The reversal of 1444340400 is 40434441.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1444340400² = 4172238382144320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2060050 + ... + 2060750.

Almost surely, 2^1444340400 is an apocalyptic number.

1444340400 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 1444340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2477211984).

1444340400 is an abundant number, since it is smaller than the sum of its proper divisors (3510083568).

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

1444340400 is a wasteful number, since it uses less digits than its factorization.

1444340400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 1444340400 is about 38004.4786834394. The cubic root of 1444340400 is about 1130.3766724009.

Adding to 1444340400 its reverse (40434441), we get a palindrome (1484774841).

The spelling of 1444340400 in words is "one billion, four hundred forty-four million, three hundred forty thousand, four hundred".