1001942148960 has 336 divisors, whose sum is σ = 3556865922624. Its totient is φ = 266593130496.

The previous prime is 1001942148929. The next prime is 1001942149037. The reversal of 1001942148960 is 698412491001.

It is a happy number.

1001942148960 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 94 + 21 + 489 + 60 = 666.

1001942148960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 55 ways as a sum of consecutive naturals, for example, 53995044 + ... + 54013596.

It is an arithmetic number, because the mean of its divisors is an integer number (10585910484).

Almost surely, 2^{1001942148960} is an apocalyptic number.

1001942148960 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 1001942148960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778432961312).

1001942148960 is an abundant number, since it is smaller than the sum of its proper divisors (2554923773664).

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

1001942148960 is an equidigital number, since it uses as much as digits as its factorization.

1001942148960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19049 (or 19026 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 1001942148960 in words is "one trillion, one billion, nine hundred forty-two million, one hundred forty-eight thousand, nine hundred sixty".