444001410402000 has 640 divisors, whose sum is σ = 1620151348248576. Its totient is φ = 103635705600000.

The previous prime is 444001410401993. The next prime is 444001410402097. The reversal of 444001410402000 is 204014100444.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 402511215 + ... + 403612785.

Almost surely, 2^{444001410402000} is an apocalyptic number.

444001410402000 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 444001410402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810075674124288).

444001410402000 is an abundant number, since it is smaller than the sum of its proper divisors (1176149937846576).

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

444001410402000 is a wasteful number, since it uses less digits than its factorization.

444001410402000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101836 (or 1101820 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 444001410402000 its reverse (204014100444), we get a palindrome (444205424502444).

The spelling of 444001410402000 in words is "four hundred forty-four trillion, one billion, four hundred ten million, four hundred two thousand".