13505932440 has 1152 divisors, whose sum is σ = 62802086400. Its totient is φ = 2506982400.

The previous prime is 13505932439. The next prime is 13505932463. The reversal of 13505932440 is 4423950531.

13505932440 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 593 + 24 + 40 = 666.

It is a super-2 number, since 2×13505932440² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 13505932395 and 13505932404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 435675225 + ... + 435675255.

It is an arithmetic number, because the mean of its divisors is an integer number (54515700).

Almost surely, 2^13505932440 is an apocalyptic number.

13505932440 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 13505932440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31401043200).

13505932440 is an abundant number, since it is smaller than the sum of its proper divisors (49296153960).

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

13505932440 is a wasteful number, since it uses less digits than its factorization.

13505932440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 13505932440 in words is "thirteen billion, five hundred five million, nine hundred thirty-two thousand, four hundred forty".