1401634241664 has 128 divisors (see below), whose sum is σ = 3794584579200. Its totient is φ = 458245472256.

The previous prime is 1401634241639. The next prime is 1401634241681. The reversal of 1401634241664 is 4661424361041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73725792 + ... + 73744800.

It is an arithmetic number, because the mean of its divisors is an integer number (29645192025).

Almost surely, 2^{1401634241664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1401634241664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1897292289600).

1401634241664 is an abundant number, since it is smaller than the sum of its proper divisors (2392950337536).

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

1401634241664 is a wasteful number, since it uses less digits than its factorization.

1401634241664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22702 (or 22690 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 1401634241664 in words is "one trillion, four hundred one billion, six hundred thirty-four million, two hundred forty-one thousand, six hundred sixty-four".