2141196288000 has 2048 divisors, whose sum is σ = 9296314859520. Its totient is φ = 424673280000.

The previous prime is 2141196287983. The next prime is 2141196288001. The reversal of 2141196288000 is 8826911412.

It is a tau number, because it is divible by the number of its divisors (2048).

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

It is not an unprimeable number, because it can be changed into a prime (2141196288001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29331455964 + ... + 29331456036.

It is an arithmetic number, because the mean of its divisors is an integer number (4539216240).

Almost surely, 2^{2141196288000} is an apocalyptic number.

2141196288000 is a gapful number since it is divisible by the number (20) 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 2141196288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4648157429760).

2141196288000 is an abundant number, since it is smaller than the sum of its proper divisors (7155118571520).

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

2141196288000 is an equidigital number, since it uses as much as digits as its factorization.

2141196288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The spelling of 2141196288000 in words is "two trillion, one hundred forty-one billion, one hundred ninety-six million, two hundred eighty-eight thousand".