1242413021400 has 192 divisors, whose sum is σ = 4012202726400. Its totient is φ = 317680704000.

The previous prime is 1242413021393. The next prime is 1242413021411. The reversal of 1242413021400 is 41203142421.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1720995 + ... + 2333805.

It is an arithmetic number, because the mean of its divisors is an integer number (20896889200).

Almost surely, 2^{1242413021400} is an apocalyptic number.

1242413021400 is a gapful number since it is divisible by the number (10) 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 1242413021400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2006101363200).

1242413021400 is an abundant number, since it is smaller than the sum of its proper divisors (2769789705000).

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

1242413021400 is a wasteful number, since it uses less digits than its factorization.

1242413021400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612970 (or 612961 counting only the distinct ones).

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

Adding to 1242413021400 its reverse (41203142421), we get a palindrome (1283616163821).

The spelling of 1242413021400 in words is "one trillion, two hundred forty-two billion, four hundred thirteen million, twenty-one thousand, four hundred".