1351681290540 has 480 divisors, whose sum is σ = 5018869363200. Its totient is φ = 304336061568.

The previous prime is 1351681290521. The next prime is 1351681290569. The reversal of 1351681290540 is 450921861531.

It is a happy number.

1351681290540 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 6 + 8 + 12 + 90 + 540 = 666.

It is a super-2 number, since 2×1351681290540² (a number of 25 digits) contains 22 as substring.

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

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 159 ways as a sum of consecutive naturals, for example, 37211067 + ... + 37247373.

It is an arithmetic number, because the mean of its divisors is an integer number (10455977840).

Almost surely, 2^{1351681290540} is an apocalyptic number.

1351681290540 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 1351681290540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2509434681600).

1351681290540 is an abundant number, since it is smaller than the sum of its proper divisors (3667188072660).

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

1351681290540 is a wasteful number, since it uses less digits than its factorization.

1351681290540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36416 (or 36391 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 1351681290540 in words is "one trillion, three hundred fifty-one billion, six hundred eighty-one million, two hundred ninety thousand, five hundred forty".