1010441331400 has 96 divisors (see below), whose sum is σ = 2482450041600. Its totient is φ = 381709785600.

The previous prime is 1010441331353. The next prime is 1010441331407. The reversal of 1010441331400 is 41331440101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1010441331407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1026861 + ... + 1753660.

It is an arithmetic number, because the mean of its divisors is an integer number (25858854600).

Almost surely, 2^{1010441331400} is an apocalyptic number.

1010441331400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010441331400 is an abundant number, since it is smaller than the sum of its proper divisors (1472008710200).

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

1010441331400 is a wasteful number, since it uses less digits than its factorization.

1010441331400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2780639 (or 2780630 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 1010441331400 its reverse (41331440101), we get a palindrome (1051772771501).

The spelling of 1010441331400 in words is "one trillion, ten billion, four hundred forty-one million, three hundred thirty-one thousand, four hundred".