1301640405040 has 80 divisors (see below), whose sum is σ = 3068867026368. Its totient is φ = 513340305408.

The previous prime is 1301640405019. The next prime is 1301640405061. The reversal of 1301640405040 is 405040461031.

It is an interprime number because it is at equal distance from previous prime (1301640405019) and next prime (1301640405061).

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16915132 + ... + 16991908.

Almost surely, 2^{1301640405040} is an apocalyptic number.

1301640405040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1301640405040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534433513184).

1301640405040 is an abundant number, since it is smaller than the sum of its proper divisors (1767226621328).

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

1301640405040 is a wasteful number, since it uses less digits than its factorization.

1301640405040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79766 (or 79760 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 1301640405040 its reverse (405040461031), we get a palindrome (1706680866071).

The spelling of 1301640405040 in words is "one trillion, three hundred one billion, six hundred forty million, four hundred five thousand, forty".