1381591407735 has 288 divisors, whose sum is σ = 3087689379840. Its totient is φ = 565004160000.

The previous prime is 1381591407727. The next prime is 1381591407773. The reversal of 1381591407735 is 5377041951831.

1381591407735 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 591 + 40 + 7 + 7 + 3 + 5 = 666.

It is not a de Polignac number, because 1381591407735 - 2³ = 1381591407727 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1329731346 + ... + 1329732384.

It is an arithmetic number, because the mean of its divisors is an integer number (10721143680).

Almost surely, 2^{1381591407735} is an apocalyptic number.

1381591407735 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1381591407735 is an abundant number, since it is smaller than the sum of its proper divisors (1706097972105).

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

1381591407735 is a wasteful number, since it uses less digits than its factorization.

1381591407735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1899 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 1381591407735 in words is "one trillion, three hundred eighty-one billion, five hundred ninety-one million, four hundred seven thousand, seven hundred thirty-five".