14078370240 has 672 divisors, whose sum is σ = 55651115520. Its totient is φ = 3359232000.

The previous prime is 14078370239. The next prime is 14078370263. The reversal of 14078370240 is 4207387041.

It is a happy number.

14078370240 is a `hidden beast` number, since 1 + 40 + 7 + 8 + 370 + 240 = 666.

It is a super-2 number, since 2×14078370240² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14078370195 and 14078370204.

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, 93234165 + ... + 93234315.

It is an arithmetic number, because the mean of its divisors is an integer number (82814160).

Almost surely, 2^14078370240 is an apocalyptic number.

14078370240 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 14078370240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27825557760).

14078370240 is an abundant number, since it is smaller than the sum of its proper divisors (41572745280).

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

14078370240 is a wasteful number, since it uses less digits than its factorization.

14078370240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 14078370240 in words is "fourteen billion, seventy-eight million, three hundred seventy thousand, two hundred forty".