1001400314144 has 48 divisors (see below), whose sum is σ = 2096593745400. Its totient is φ = 469189300224.

The previous prime is 1001400314143. The next prime is 1001400314191. The reversal of 1001400314144 is 4414130041001.

It can be written as a sum of positive squares in 4 ways, for example, as 920409984400 + 80990329744 = 959380^2 + 284588^2 .

It is not an unprimeable number, because it can be changed into a prime (1001400314143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3894659 + ... + 4143810.

Almost surely, 2^{1001400314144} is an apocalyptic number.

It is an amenable number.

1001400314144 is an abundant number, since it is smaller than the sum of its proper divisors (1095193431256).

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

1001400314144 is a wasteful number, since it uses less digits than its factorization.

1001400314144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8038725 (or 8038717 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 1001400314144 its reverse (4414130041001), we get a palindrome (5415530355145).

The spelling of 1001400314144 in words is "one trillion, one billion, four hundred million, three hundred fourteen thousand, one hundred forty-four".