14378999040 has 576 divisors, whose sum is σ = 59553984000. Its totient is φ = 3283918848.

The previous prime is 14378999039. The next prime is 14378999051. The reversal of 14378999040 is 4099987341.

14378999040 is a `hidden beast` number, since 1 + 437 + 89 + 9 + 90 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×14378999040² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 11853474 + ... + 11854686.

Almost surely, 2^14378999040 is an apocalyptic number.

14378999040 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 14378999040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29776992000).

14378999040 is an abundant number, since it is smaller than the sum of its proper divisors (45174984960).

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

14378999040 is an equidigital number, since it uses as much as digits as its factorization.

14378999040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 14378999040 in words is "fourteen billion, three hundred seventy-eight million, nine hundred ninety-nine thousand, forty".