13905107040 has 288 divisors, whose sum is σ = 49704496128. Its totient is φ = 3261772800.

The previous prime is 13905107023. The next prime is 13905107057. The reversal of 13905107040 is 4070150931.

It is an interprime number because it is at equal distance from previous prime (13905107023) and next prime (13905107057).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 13905106989 and 13905107007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1796619 + ... + 1804341.

It is an arithmetic number, because the mean of its divisors is an integer number (172585056).

Almost surely, 2^13905107040 is an apocalyptic number.

13905107040 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 13905107040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24852248064).

13905107040 is an abundant number, since it is smaller than the sum of its proper divisors (35799389088).

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

13905107040 is a wasteful number, since it uses less digits than its factorization.

13905107040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7794 (or 7775 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

Adding to 13905107040 its reverse (4070150931), we get a palindrome (17975257971).

The spelling of 13905107040 in words is "thirteen billion, nine hundred five million, one hundred seven thousand, forty".