1351086085440 has 2688 divisors, whose sum is σ = 6326653132800. Its totient is φ = 256830013440.

The previous prime is 1351086085403. The next prime is 1351086085511. The reversal of 1351086085440 is 445806801531.

1351086085440 is a `hidden beast` number, since 1 + 3 + 51 + 0 + 86 + 0 + 85 + 440 = 666.

It is a super-2 number, since 2×1351086085440² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10313634175 + ... + 10313634305.

It is an arithmetic number, because the mean of its divisors is an integer number (2353665600).

Almost surely, 2^{1351086085440} is an apocalyptic number.

1351086085440 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 1351086085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3163326566400).

1351086085440 is an abundant number, since it is smaller than the sum of its proper divisors (4975567047360).

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

1351086085440 is a wasteful number, since it uses less digits than its factorization.

1351086085440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 1351086085440 in words is "one trillion, three hundred fifty-one billion, eighty-six million, eighty-five thousand, four hundred forty".