13045415040 has 1024 divisors, whose sum is σ = 56401920000. Its totient is φ = 2844979200.

The previous prime is 13045414999. The next prime is 13045415087. The reversal of 13045415040 is 4051454031.

It is a happy number.

13045415040 is a `hidden beast` number, since 1 + 30 + 4 + 541 + 50 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13045414995 and 13045415013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 183738205 + ... + 183738275.

It is an arithmetic number, because the mean of its divisors is an integer number (55080000).

Almost surely, 2^13045415040 is an apocalyptic number.

13045415040 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 13045415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28200960000).

13045415040 is an abundant number, since it is smaller than the sum of its proper divisors (43356504960).

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

13045415040 is an equidigital number, since it uses as much as digits as its factorization.

13045415040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 13045415040 its reverse (4051454031), we get a palindrome (17096869071).

The spelling of 13045415040 in words is "thirteen billion, forty-five million, four hundred fifteen thousand, forty".