21006214117740 has 72 divisors (see below), whose sum is σ = 63719503612128. Its totient is φ = 5601599592960.

The previous prime is 21006214117649. The next prime is 21006214117751. The reversal of 21006214117740 is 4771141260012.

21006214117740 is a `hidden beast` number, since 2 + 10 + 0 + 621 + 4 + 1 + 17 + 7 + 4 + 0 = 666.

It is a super-2 number, since 2×21006214117740² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21006214117695 and 21006214117704.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18707449 + ... + 19798511.

It is an arithmetic number, because the mean of its divisors is an integer number (884993105724).

Almost surely, 2^{21006214117740} is an apocalyptic number.

21006214117740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21006214117740 is an abundant number, since it is smaller than the sum of its proper divisors (42713289494388).

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

21006214117740 is a wasteful number, since it uses less digits than its factorization.

21006214117740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198039 (or 1198034 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

Adding to 21006214117740 its reverse (4771141260012), we get a palindrome (25777355377752).

The spelling of 21006214117740 in words is "twenty-one trillion, six billion, two hundred fourteen million, one hundred seventeen thousand, seven hundred forty".