1071095131440 has 120 divisors (see below), whose sum is σ = 3597282102960. Its totient is φ = 285610470912.

The previous prime is 1071095131427. The next prime is 1071095131493. The reversal of 1071095131440 is 441315901701.

1071095131440 is a `hidden beast` number, since 10 + 71 + 0 + 9 + 5 + 131 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1071095131440² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1071095131395 and 1071095131404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24899871 + ... + 24942849.

It is an arithmetic number, because the mean of its divisors is an integer number (29977350858).

Almost surely, 2^{1071095131440} is an apocalyptic number.

1071095131440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1071095131440 is an abundant number, since it is smaller than the sum of its proper divisors (2526186971520).

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

1071095131440 is a wasteful number, since it uses less digits than its factorization.

1071095131440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77611 (or 77602 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 1071095131440 in words is "one trillion, seventy-one billion, ninety-five million, one hundred thirty-one thousand, four hundred forty".