1301038951680 has 1296 divisors, whose sum is σ = 5337637001424. Its totient is φ = 300987187200.

The previous prime is 1301038951657. The next prime is 1301038951717. The reversal of 1301038951680 is 861598301031.

It is a happy number.

1301038951680 is a `hidden beast` number, since 13 + 0 + 10 + 38 + 9 + 516 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9197577216 + 1291841374464 = 95904^2 + 1136592^2 .

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1855975330 + ... + 1855976030.

It is an arithmetic number, because the mean of its divisors is an integer number (4118547069).

Almost surely, 2^{1301038951680} is an apocalyptic number.

1301038951680 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 1301038951680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2668818500712).

1301038951680 is an abundant number, since it is smaller than the sum of its proper divisors (4036598049744).

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

1301038951680 is an frugal number, since it uses more digits than its factorization.

1301038951680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 1301038951680 in words is "one trillion, three hundred one billion, thirty-eight million, nine hundred fifty-one thousand, six hundred eighty".