12438963040 has 192 divisors, whose sum is σ = 36256066560. Its totient is φ = 3938457600.

The previous prime is 12438962983. The next prime is 12438963041. The reversal of 12438963040 is 4036983421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 12438962984 and 12438963002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12438963041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 738715 + ... + 755365.

It is an arithmetic number, because the mean of its divisors is an integer number (188833680).

Almost surely, 2^12438963040 is an apocalyptic number.

12438963040 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 12438963040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18128033280).

12438963040 is an abundant number, since it is smaller than the sum of its proper divisors (23817103520).

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

12438963040 is a wasteful number, since it uses less digits than its factorization.

12438963040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16725 (or 16717 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The spelling of 12438963040 in words is "twelve billion, four hundred thirty-eight million, nine hundred sixty-three thousand, forty".