2140234442400 has 144 divisors (see below), whose sum is σ = 6966967460544. Its totient is φ = 570687866880.

The previous prime is 2140234442377. The next prime is 2140234442429. The reversal of 2140234442400 is 42444320412.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48032932 + ... + 48077468.

It is an arithmetic number, because the mean of its divisors is an integer number (48381718476).

Almost surely, 2^{2140234442400} is an apocalyptic number.

2140234442400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2140234442400 is an abundant number, since it is smaller than the sum of its proper divisors (4826733018144).

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

2140234442400 is a wasteful number, since it uses less digits than its factorization.

2140234442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64583 (or 64570 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 2140234442400 its reverse (42444320412), we get a palindrome (2182678762812).

The spelling of 2140234442400 in words is "two trillion, one hundred forty billion, two hundred thirty-four million, four hundred forty-two thousand, four hundred".