1075143229440 has 1440 divisors, whose sum is σ = 4360600903680. Its totient is φ = 224737099776.

The previous prime is 1075143229399. The next prime is 1075143229487. The reversal of 1075143229440 is 449223415701.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1075143229392 and 1075143229401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8465694657 + ... + 8465694783.

It is an arithmetic number, because the mean of its divisors is an integer number (3028195072).

Almost surely, 2^{1075143229440} is an apocalyptic number.

1075143229440 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 1075143229440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2180300451840).

1075143229440 is an abundant number, since it is smaller than the sum of its proper divisors (3285457674240).

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

1075143229440 is a wasteful number, since it uses less digits than its factorization.

1075143229440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 1075143229440 in words is "one trillion, seventy-five billion, one hundred forty-three million, two hundred twenty-nine thousand, four hundred forty".