20124013331400 has 576 divisors, whose sum is σ = 70245004032000. Its totient is φ = 4726328140800.

The previous prime is 20124013331399. The next prime is 20124013331407. The reversal of 20124013331400 is 413331042102.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (20124013331407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2159455941 + ... + 2159465259.

It is an arithmetic number, because the mean of its divisors is an integer number (121953132000).

Almost surely, 2^{20124013331400} is an apocalyptic number.

20124013331400 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 20124013331400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35122502016000).

20124013331400 is an abundant number, since it is smaller than the sum of its proper divisors (50120990700600).

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

20124013331400 is a wasteful number, since it uses less digits than its factorization.

20124013331400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9662 (or 9616 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 20124013331400 its reverse (413331042102), we get a palindrome (20537344373502).

The spelling of 20124013331400 in words is "twenty trillion, one hundred twenty-four billion, thirteen million, three hundred thirty-one thousand, four hundred".