14054040 has 384 divisors, whose sum is σ = 63244800. Its totient is φ = 2695680.

The previous prime is 14054017. The next prime is 14054057. The reversal of 14054040 is 4045041.

14054040 = 379² + 380² + ... + 458².

14054040 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

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

14054040 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1081074 + ... + 1081086.

It is an arithmetic number, because the mean of its divisors is an integer number (164700).

Almost surely, 2^14054040 is an apocalyptic number.

14054040 is a gapful number since it is divisible by the number (10) 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 14054040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31622400).

14054040 is an abundant number, since it is smaller than the sum of its proper divisors (49190760).

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

14054040 is a wasteful number, since it uses less digits than its factorization.

14054040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 14054040 is about 3748.8718302977. The cubic root of 14054040 is about 241.3239332406.

Adding to 14054040 its reverse (4045041), we get a palindrome (18099081).

It can be divided in two parts, 1405 and 4040, that added together give a palindrome (5445).

The spelling of 14054040 in words is "fourteen million, fifty-four thousand, forty".