3401211444000 has 96 divisors (see below), whose sum is σ = 11142368729856. Its totient is φ = 906989715200.

The previous prime is 3401211443941. The next prime is 3401211444019. The reversal of 3401211444000 is 4441121043.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 141705144 + ... + 141729143.

It is an arithmetic number, because the mean of its divisors is an integer number (116066340936).

Almost surely, 2^{3401211444000} is an apocalyptic number.

3401211444000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3401211444000 is an abundant number, since it is smaller than the sum of its proper divisors (7741157285856).

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

3401211444000 is a wasteful number, since it uses less digits than its factorization.

3401211444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283434315 (or 283434297 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 3401211444000 its reverse (4441121043), we get a palindrome (3405652565043).

The spelling of 3401211444000 in words is "three trillion, four hundred one billion, two hundred eleven million, four hundred forty-four thousand".