1071145137920 has 288 divisors, whose sum is σ = 3020465730240. Its totient is φ = 358807633920.

The previous prime is 1071145137919. The next prime is 1071145137943. The reversal of 1071145137920 is 297315411701.

1071145137920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1071145137920² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93161612 + ... + 93173108.

It is an arithmetic number, because the mean of its divisors is an integer number (10487728230).

Almost surely, 2^{1071145137920} is an apocalyptic number.

1071145137920 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 1071145137920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510232865120).

1071145137920 is an abundant number, since it is smaller than the sum of its proper divisors (1949320592320).

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

1071145137920 is a wasteful number, since it uses less digits than its factorization.

1071145137920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12051 (or 12037 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 41.

The spelling of 1071145137920 in words is "one trillion, seventy-one billion, one hundred forty-five million, one hundred thirty-seven thousand, nine hundred twenty".