21161004001410 has 256 divisors, whose sum is σ = 62642393468928. Its totient is φ = 4455032140800.

The previous prime is 21161004001399. The next prime is 21161004001411. The reversal of 21161004001410 is 1410040016112.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (21161004001411) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3295590000 + ... + 3295596420.

It is an arithmetic number, because the mean of its divisors is an integer number (244696849488).

Almost surely, 2^{21161004001410} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21161004001410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31321196734464).

21161004001410 is an abundant number, since it is smaller than the sum of its proper divisors (41481389467518).

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

21161004001410 is a wasteful number, since it uses less digits than its factorization.

21161004001410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8889.

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 21161004001410 its reverse (1410040016112), we get a palindrome (22571044017522).

The spelling of 21161004001410 in words is "twenty-one trillion, one hundred sixty-one billion, four million, one thousand, four hundred ten".