20401410000 has 200 divisors, whose sum is σ = 67986037504. Its totient is φ = 5264640000.

The previous prime is 20401409989. The next prime is 20401410011. The reversal of 20401410000 is 1410402.

It is an interprime number because it is at equal distance from previous prime (20401409989) and next prime (20401410011).

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 919032 + ... + 940968.

Almost surely, 2^20401410000 is an apocalyptic number.

20401410000 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 20401410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33993018752).

20401410000 is an abundant number, since it is smaller than the sum of its proper divisors (47584627504).

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

20401410000 is a wasteful number, since it uses less digits than its factorization.

20401410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21999 (or 21978 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20401410000 its reverse (1410402), we get a palindrome (20402820402).

It can be divided in two parts, 2040 and 1410000, that added together give a triangular number (1412040 = T₁₆₈₀).

The spelling of 20401410000 in words is "twenty billion, four hundred one million, four hundred ten thousand".