21314040 has 128 divisors (see below), whose sum is σ = 71089920. Its totient is φ = 5068800.

The previous prime is 21314011. The next prime is 21314053. The reversal of 21314040 is 4041312.

It is a super-2 number, since 2×21314040² = 908576602243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88320 + ... + 88560.

It is an arithmetic number, because the mean of its divisors is an integer number (555390).

Almost surely, 2^21314040 is an apocalyptic number.

21314040 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 21314040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35544960).

21314040 is an abundant number, since it is smaller than the sum of its proper divisors (49775880).

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

21314040 is a wasteful number, since it uses less digits than its factorization.

21314040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 21314040 is about 4616.7131164932. The cubic root of 21314040 is about 277.2608767096.

Adding to 21314040 its reverse (4041312), we get a palindrome (25355352).

The spelling of 21314040 in words is "twenty-one million, three hundred fourteen thousand, forty".