14138744004 has 216 divisors, whose sum is σ = 45817116800. Its totient is φ = 3672012960.

The previous prime is 14138743973. The next prime is 14138744017. The reversal of 14138744004 is 40044783141.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 14138744004.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1489377 + ... + 1498839.

Almost surely, 2^14138744004 is an apocalyptic number.

14138744004 is a gapful number since it is divisible by the number (14) 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 14138744004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22908558400).

14138744004 is an abundant number, since it is smaller than the sum of its proper divisors (31678372796).

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

14138744004 is a wasteful number, since it uses less digits than its factorization.

14138744004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9516 (or 9486 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 14138744004 in words is "fourteen billion, one hundred thirty-eight million, seven hundred forty-four thousand, four".