4042121213400 has 192 divisors, whose sum is σ = 12604480761600. Its totient is φ = 1071546048000.

The previous prime is 4042121213387. The next prime is 4042121213401. The reversal of 4042121213400 is 43121212404.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042121213401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 398665531 + ... + 398675669.

It is an arithmetic number, because the mean of its divisors is an integer number (65648337300).

Almost surely, 2^{4042121213400} is an apocalyptic number.

4042121213400 is a gapful number since it is divisible by the number (40) 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 4042121213400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6302240380800).

4042121213400 is an abundant number, since it is smaller than the sum of its proper divisors (8562359548200).

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

4042121213400 is a wasteful number, since it uses less digits than its factorization.

4042121213400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14010 (or 14001 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 4042121213400 its reverse (43121212404), we get a palindrome (4085242425804).

The spelling of 4042121213400 in words is "four trillion, forty-two billion, one hundred twenty-one million, two hundred thirteen thousand, four hundred".