1301031140640 has 384 divisors, whose sum is σ = 5120513169408. Its totient is φ = 269761658880.

The previous prime is 1301031140627. The next prime is 1301031140677. The reversal of 1301031140640 is 460411301031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1301031140640.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17222632 + ... + 17298008.

It is an arithmetic number, because the mean of its divisors is an integer number (13334669712).

Almost surely, 2^{1301031140640} is an apocalyptic number.

1301031140640 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 1301031140640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2560256584704).

1301031140640 is an abundant number, since it is smaller than the sum of its proper divisors (3819482028768).

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

1301031140640 is a wasteful number, since it uses less digits than its factorization.

1301031140640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75880 (or 75872 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 1301031140640 its reverse (460411301031), we get a palindrome (1761442441671).

The spelling of 1301031140640 in words is "one trillion, three hundred one billion, thirty-one million, one hundred forty thousand, six hundred forty".