21034440000 has 840 divisors, whose sum is σ = 91353607488. Its totient is φ = 4515840000.

The previous prime is 21034439963. The next prime is 21034440059. The reversal of 21034440000 is 4443012.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×21034440000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 42839755 + ... + 42840245.

Almost surely, 2^21034440000 is an apocalyptic number.

21034440000 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 21034440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45676803744).

21034440000 is an abundant number, since it is smaller than the sum of its proper divisors (70319167488).

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

21034440000 is a wasteful number, since it uses less digits than its factorization.

21034440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 21034440000 its reverse (4443012), we get a palindrome (21038883012).

The spelling of 21034440000 in words is "twenty-one billion, thirty-four million, four hundred forty thousand".