2142359142400 has 135 divisors (see below), whose sum is σ = 5315212629489. Its totient is φ = 856568954880.

The previous prime is 2142359142347. The next prime is 2142359142409. The reversal of 2142359142400 is 42419532412.

The square root of 2142359142400 is 1463680.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 771249291264 + 1371109851136 = 878208^2 + 1170944^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2142359142400.

It is not an unprimeable number, because it can be changed into a prime (2142359142409) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 936754057 + ... + 936756343.

Almost surely, 2^{2142359142400} is an apocalyptic number.

2142359142400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2142359142400 is the 1463680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142359142400

2142359142400 is an abundant number, since it is smaller than the sum of its proper divisors (3172853487089).

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

2142359142400 is an frugal number, since it uses more digits than its factorization.

2142359142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4612 (or 2294 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 2142359142400 in words is "two trillion, one hundred forty-two billion, three hundred fifty-nine million, one hundred forty-two thousand, four hundred".