2141444000400 has 60 divisors (see below), whose sum is σ = 6859758951792. Its totient is φ = 571051733120.

The previous prime is 2141444000387. The next prime is 2141444000419. The reversal of 2141444000400 is 40004441412.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

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 11 ways as a sum of consecutive naturals, for example, 892267134 + ... + 892269533.

Almost surely, 2^{2141444000400} is an apocalyptic number.

2141444000400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141444000400 is an abundant number, since it is smaller than the sum of its proper divisors (4718314951392).

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

2141444000400 is a wasteful number, since it uses less digits than its factorization.

2141444000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1784536688 (or 1784536677 counting only the distinct ones).

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

Adding to 2141444000400 its reverse (40004441412), we get a palindrome (2181448441812).

The spelling of 2141444000400 in words is "two trillion, one hundred forty-one billion, four hundred forty-four million, four hundred", and thus it is an aban number.