444076943400 has 240 divisors, whose sum is σ = 1563477191100. Its totient is φ = 116798008320.

The previous prime is 444076943389. The next prime is 444076943407. The reversal of 444076943400 is 4349670444.

It can be written as a sum of positive squares in 6 ways, for example, as 88305254244 + 355771689156 = 297162^2 + 596466^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (444076943407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 994846 + ... + 1370354.

Almost surely, 2^444076943400 is an apocalyptic number.

444076943400 is a gapful number since it is divisible by the number (40) 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 444076943400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781738595550).

444076943400 is an abundant number, since it is smaller than the sum of its proper divisors (1119400247700).

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

444076943400 is a wasteful number, since it uses less digits than its factorization.

444076943400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375610 (or 375592 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 444076943400 in words is "four hundred forty-four billion, seventy-six million, nine hundred forty-three thousand, four hundred".