21114455040 has 528 divisors, whose sum is σ = 84947421312. Its totient is φ = 4749262848.

The previous prime is 21114455023. The next prime is 21114455041. The reversal of 21114455040 is 4055441112.

21114455040 is a `hidden beast` number, since 2 + 1 + 114 + 45 + 504 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21114454995 and 21114455013.

It is not an unprimeable number, because it can be changed into a prime (21114455041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21611032 + ... + 21612008.

Almost surely, 2^21114455040 is an apocalyptic number.

21114455040 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 21114455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42473710656).

21114455040 is an abundant number, since it is smaller than the sum of its proper divisors (63832966272).

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

21114455040 is a wasteful number, since it uses less digits than its factorization.

21114455040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 21114455040 its reverse (4055441112), we get a palindrome (25169896152).

The spelling of 21114455040 in words is "twenty-one billion, one hundred fourteen million, four hundred fifty-five thousand, forty".