1071071087040 has 280 divisors, whose sum is σ = 3941369958240. Its totient is φ = 275769833472.

The previous prime is 1071071087039. The next prime is 1071071087041. The reversal of 1071071087040 is 407801701701.

It is a happy number.

1071071087040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1071071087039) and next prime (1071071087041).

It is a super-2 number, since 2×1071071087040² (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 = 1071071086986 and 1071071087004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1071071087041) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 39229 + ... + 1464131.

Almost surely, 2^{1071071087040} is an apocalyptic number.

1071071087040 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 1071071087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1970684979120).

1071071087040 is an abundant number, since it is smaller than the sum of its proper divisors (2870298871200).

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

1071071087040 is a wasteful number, since it uses less digits than its factorization.

1071071087040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1424961 (or 1424942 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 36.

Adding to 1071071087040 its reverse (407801701701), we get a palindrome (1478872788741).

The spelling of 1071071087040 in words is "one trillion, seventy-one billion, seventy-one million, eighty-seven thousand, forty".