13133742440 has 384 divisors, whose sum is σ = 39286114560. Its totient is φ = 3908653056.

The previous prime is 13133742403. The next prime is 13133742443. The reversal of 13133742440 is 4424733131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13133742397 and 13133742406.

It is not an unprimeable number, because it can be changed into a prime (13133742443) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42780767 + ... + 42781073.

It is an arithmetic number, because the mean of its divisors is an integer number (102307590).

Almost surely, 2^13133742440 is an apocalyptic number.

13133742440 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 13133742440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19643057280).

13133742440 is an abundant number, since it is smaller than the sum of its proper divisors (26152372120).

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

13133742440 is a wasteful number, since it uses less digits than its factorization.

13133742440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 32.

The spelling of 13133742440 in words is "thirteen billion, one hundred thirty-three million, seven hundred forty-two thousand, four hundred forty".