1444117620 has 96 divisors (see below), whose sum is σ = 4417338240. Its totient is φ = 349596160.

The previous prime is 1444117607. The next prime is 1444117627. The reversal of 1444117620 is 267114441.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444117627) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 730954 + ... + 732926.

It is an arithmetic number, because the mean of its divisors is an integer number (46013940).

Almost surely, 2^1444117620 is an apocalyptic number.

1444117620 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 1444117620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208669120).

1444117620 is an abundant number, since it is smaller than the sum of its proper divisors (2973220620).

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

1444117620 is a wasteful number, since it uses less digits than its factorization.

1444117620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3105 (or 3103 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 1444117620 is about 38001.5476000649. The cubic root of 1444117620 is about 1130.3185516921.

The spelling of 1444117620 in words is "one billion, four hundred forty-four million, one hundred seventeen thousand, six hundred twenty".