21114133040 has 320 divisors, whose sum is σ = 69385559040. Its totient is φ = 5754654720.

The previous prime is 21114133003. The next prime is 21114133043. The reversal of 21114133040 is 4033141112.

It is a super-2 number, since 2×21114133040² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (21114133043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1514582 + ... + 1528458.

It is an arithmetic number, because the mean of its divisors is an integer number (216829872).

Almost surely, 2^21114133040 is an apocalyptic number.

21114133040 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 21114133040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34692779520).

21114133040 is an abundant number, since it is smaller than the sum of its proper divisors (48271426000).

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

21114133040 is a wasteful number, since it uses less digits than its factorization.

21114133040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13940 (or 13934 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 21114133040 its reverse (4033141112), we get a palindrome (25147274152).

The spelling of 21114133040 in words is "twenty-one billion, one hundred fourteen million, one hundred thirty-three thousand, forty".