20014904629120 has 256 divisors, whose sum is σ = 49085198553600. Its totient is φ = 7801489612800.

The previous prime is 20014904629117. The next prime is 20014904629121. The reversal of 20014904629120 is 2192640941002.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20014904629121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6118893085 + ... + 6118896355.

It is an arithmetic number, because the mean of its divisors is an integer number (191739056850).

Almost surely, 2^{20014904629120} is an apocalyptic number.

20014904629120 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 20014904629120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24542599276800).

20014904629120 is an abundant number, since it is smaller than the sum of its proper divisors (29070293924480).

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

20014904629120 is a wasteful number, since it uses less digits than its factorization.

20014904629120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4717 (or 4705 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 20014904629120 in words is "twenty trillion, fourteen billion, nine hundred four million, six hundred twenty-nine thousand, one hundred twenty".