21104113947840 has 3360 divisors, whose sum is σ = 104651707083264. Its totient is φ = 3907816980480.

The previous prime is 21104113947817. The next prime is 21104113947907. The reversal of 21104113947840 is 4874931140112.

21104113947840 is a `hidden beast` number, since 2 + 1 + 1 + 0 + 4 + 1 + 139 + 478 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 12248469219 + ... + 12248470941.

Almost surely, 2^{21104113947840} is an apocalyptic number.

21104113947840 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 21104113947840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52325853541632).

21104113947840 is an abundant number, since it is smaller than the sum of its proper divisors (83547593135424).

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

21104113947840 is a wasteful number, since it uses less digits than its factorization.

21104113947840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1825 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 21104113947840 in words is "twenty-one trillion, one hundred four billion, one hundred thirteen million, nine hundred forty-seven thousand, eight hundred forty".