2100400440020 has 192 divisors, whose sum is σ = 5223095136000. Its totient is φ = 703738699776.

The previous prime is 2100400440011. The next prime is 2100400440031. The reversal of 2100400440020 is 200440040012.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6780071 + ... + 7083089.

It is an arithmetic number, because the mean of its divisors is an integer number (27203620500).

Almost surely, 2^{2100400440020} is an apocalyptic number.

2100400440020 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 2100400440020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2611547568000).

2100400440020 is an abundant number, since it is smaller than the sum of its proper divisors (3122694695980).

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

2100400440020 is a wasteful number, since it uses less digits than its factorization.

2100400440020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303130 (or 303128 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 2100400440020 its reverse (200440040012), we get a palindrome (2300840480032).

The spelling of 2100400440020 in words is "two trillion, one hundred billion, four hundred million, four hundred forty thousand, twenty".