2142341432400 has 240 divisors, whose sum is σ = 7391798519616. Its totient is φ = 527254978560.

The previous prime is 2142341432393. The next prime is 2142341432447. The reversal of 2142341432400 is 42341432412.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 162748219 + ... + 162761381.

Almost surely, 2^{2142341432400} is an apocalyptic number.

2142341432400 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 2142341432400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3695899259808).

2142341432400 is an abundant number, since it is smaller than the sum of its proper divisors (5249457087216).

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

2142341432400 is a wasteful number, since it uses less digits than its factorization.

2142341432400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23630 (or 23619 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 2142341432400 its reverse (42341432412), we get a palindrome (2184682864812).

The spelling of 2142341432400 in words is "two trillion, one hundred forty-two billion, three hundred forty-one million, four hundred thirty-two thousand, four hundred".