21624004100404 has 6 divisors (see below), whose sum is σ = 37842007175714. Its totient is φ = 10812002050200.

The previous prime is 21624004100401. The next prime is 21624004100471. The reversal of 21624004100404 is 40400140042612.

It can be written as a sum of positive squares in only one way, i.e., 18384371290000 + 3239632810404 = 4287700^2 + 1799898^2 .

It is a super-3 number, since 3×21624004100404³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21624004100401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2703000512547 + ... + 2703000512554.

Almost surely, 2^{21624004100404} is an apocalyptic number.

It is an amenable number.

21624004100404 is a deficient number, since it is larger than the sum of its proper divisors (16218003075310).

21624004100404 is a wasteful number, since it uses less digits than its factorization.

21624004100404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5406001025105 (or 5406001025103 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The spelling of 21624004100404 in words is "twenty-one trillion, six hundred twenty-four billion, four million, one hundred thousand, four hundred four".