210001026400 has 288 divisors, whose sum is σ = 602417692800. Its totient is φ = 70659993600.

The previous prime is 210001026379. The next prime is 210001026427. The reversal of 210001026400 is 4620100012.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7174996 + ... + 7204204.

It is an arithmetic number, because the mean of its divisors is an integer number (2091728100).

Almost surely, 2^210001026400 is an apocalyptic number.

210001026400 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 210001026400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301208846400).

210001026400 is an abundant number, since it is smaller than the sum of its proper divisors (392416666400).

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

210001026400 is a wasteful number, since it uses less digits than its factorization.

210001026400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29302 (or 29289 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 210001026400 its reverse (4620100012), we get a palindrome (214621126412).

The spelling of 210001026400 in words is "two hundred ten billion, one million, twenty-six thousand, four hundred".