21381420621000 has 1024 divisors, whose sum is σ = 76712151859200. Its totient is φ = 4911404544000.

The previous prime is 21381420620951. The next prime is 21381420621049. The reversal of 21381420621000 is 12602418312.

It is an interprime number because it is at equal distance from previous prime (21381420620951) and next prime (21381420621049).

It is a super-3 number, since 3×21381420621000³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13141622187 + ... + 13141623813.

It is an arithmetic number, because the mean of its divisors is an integer number (74914210800).

Almost surely, 2^{21381420621000} is an apocalyptic number.

21381420621000 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 21381420621000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38356075929600).

21381420621000 is an abundant number, since it is smaller than the sum of its proper divisors (55330731238200).

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

21381420621000 is a wasteful number, since it uses less digits than its factorization.

21381420621000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1975 (or 1961 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 21381420621000 in words is "twenty-one trillion, three hundred eighty-one billion, four hundred twenty million, six hundred twenty-one thousand".