20214024000000 has 1120 divisors, whose sum is σ = 71743350423360. Its totient is φ = 5042995200000.

The previous prime is 20214023999977. The next prime is 20214024000017. The reversal of 20214024000000 is 42041202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 44231999772 + ... + 44232000228.

It is an arithmetic number, because the mean of its divisors is an integer number (64056562878).

Almost surely, 2^{20214024000000} is an apocalyptic number.

20214024000000 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 20214024000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35871675211680).

20214024000000 is an abundant number, since it is smaller than the sum of its proper divisors (51529326423360).

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

20214024000000 is an frugal number, since it uses more digits than its factorization.

20214024000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 20214024000000 its reverse (42041202), we get a palindrome (20214066041202).

The spelling of 20214024000000 in words is "twenty trillion, two hundred fourteen billion, twenty-four million", and thus it is an aban number.