14838539040 has 480 divisors, whose sum is σ = 58359858480. Its totient is φ = 3525451776.

The previous prime is 14838539017. The next prime is 14838539071. The reversal of 14838539040 is 4093583841.

14838539040 is a `hidden beast` number, since 1 + 48 + 38 + 539 + 0 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6497004816 + 8341534224 = 80604^2 + 91332^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4884402 + ... + 4887438.

Almost surely, 2^14838539040 is an apocalyptic number.

14838539040 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 14838539040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29179929240).

14838539040 is an abundant number, since it is smaller than the sum of its proper divisors (43521319440).

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

14838539040 is a wasteful number, since it uses less digits than its factorization.

14838539040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3106 (or 3089 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

It can be divided in two parts, 14838 and 539040, that added together give a triangular number (553878 = T₁₀₅₂).

The spelling of 14838539040 in words is "fourteen billion, eight hundred thirty-eight million, five hundred thirty-nine thousand, forty".