1042891148160 has 384 divisors, whose sum is σ = 3751484405760. Its totient is φ = 276847994880.

The previous prime is 1042891148153. The next prime is 1042891148179. The reversal of 1042891148160 is 618411982401.

1042891148160 is a `hidden beast` number, since 1 + 0 + 4 + 28 + 91 + 1 + 481 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34665925 + ... + 34695995.

It is an arithmetic number, because the mean of its divisors is an integer number (9769490640).

Almost surely, 2^{1042891148160} is an apocalyptic number.

1042891148160 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 1042891148160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1875742202880).

1042891148160 is an abundant number, since it is smaller than the sum of its proper divisors (2708593257600).

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

1042891148160 is an equidigital number, since it uses as much as digits as its factorization.

1042891148160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30328 (or 30304 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 1042891148160 in words is "one trillion, forty-two billion, eight hundred ninety-one million, one hundred forty-eight thousand, one hundred sixty".