1441431600 has 240 divisors, whose sum is σ = 5332396800. Its totient is φ = 326016000.

The previous prime is 1441431571. The next prime is 1441431611. The reversal of 1441431600 is 61341441.

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

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, 847551 + ... + 849249.

It is an arithmetic number, because the mean of its divisors is an integer number (22218320).

Almost surely, 2^1441431600 is an apocalyptic number.

1441431600 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 1441431600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2666198400).

1441431600 is an abundant number, since it is smaller than the sum of its proper divisors (3890965200).

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

1441431600 is a wasteful number, since it uses less digits than its factorization.

1441431600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1828 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1441431600 is about 37966.1902223544. The cubic root of 1441431600 is about 1129.6173293746.

The spelling of 1441431600 in words is "one billion, four hundred forty-one million, four hundred thirty-one thousand, six hundred".