1381025479680 has 1760 divisors, whose sum is σ = 6283086036480. Its totient is φ = 281717637120.

The previous prime is 1381025479667. The next prime is 1381025479699. The reversal of 1381025479680 is 869745201831.

1381025479680 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 0 + 2 + 547 + 96 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1760).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1884072594 + ... + 1884073326.

It is an arithmetic number, because the mean of its divisors is an integer number (3569935248).

It is a 1-persistent number, because it is pandigital, but 2⋅1381025479680 = 2762050959360 is not.

Almost surely, 2^{1381025479680} is an apocalyptic number.

1381025479680 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 1381025479680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3141543018240).

1381025479680 is an abundant number, since it is smaller than the sum of its proper divisors (4902060556800).

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

1381025479680 is a wasteful number, since it uses less digits than its factorization.

1381025479680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 1381025479680 in words is "one trillion, three hundred eighty-one billion, twenty-five million, four hundred seventy-nine thousand, six hundred eighty".