1158973271040 has 704 divisors, whose sum is σ = 4142466671616. Its totient is φ = 274699911168.

The previous prime is 1158973271011. The next prime is 1158973271051. The reversal of 1158973271040 is 401723798511.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 760979719 + ... + 760981241.

Almost surely, 2^{1158973271040} is an apocalyptic number.

1158973271040 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 1158973271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2071233335808).

1158973271040 is an abundant number, since it is smaller than the sum of its proper divisors (2983493400576).

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

1158973271040 is a wasteful number, since it uses less digits than its factorization.

1158973271040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1704 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 48.

The spelling of 1158973271040 in words is "one trillion, one hundred fifty-eight billion, nine hundred seventy-three million, two hundred seventy-one thousand, forty".