2121442000400 has 60 divisors (see below), whose sum is σ = 5096983416900. Its totient is φ = 848540336640.

The previous prime is 2121442000387. The next prime is 2121442000409. The reversal of 2121442000400 is 40002441212.

It can be written as a sum of positive squares in 6 ways, for example, as 348539098384 + 1772902902016 = 590372^2 + 1331504^2 .

It is a super-2 number, since 2×2121442000400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2121442000409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10422806 + ... + 10624394.

It is an arithmetic number, because the mean of its divisors is an integer number (84949723615).

Almost surely, 2^{2121442000400} is an apocalyptic number.

2121442000400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121442000400 is an abundant number, since it is smaller than the sum of its proper divisors (2975541416500).

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

2121442000400 is a wasteful number, since it uses less digits than its factorization.

2121442000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227916 (or 227905 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 2121442000400 its reverse (40002441212), we get a palindrome (2161444441612).

The spelling of 2121442000400 in words is "two trillion, one hundred twenty-one billion, four hundred forty-two million, four hundred", and thus it is an aban number.