13745471040 has 896 divisors, whose sum is σ = 60833203200. Its totient is φ = 2848849920.

The previous prime is 13745470997. The next prime is 13745471063. The reversal of 13745471040 is 4017454731.

13745471040 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 547 + 104 + 0 = 666.

It is a super-2 number, since 2×13745471040² (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 = 13745470986 and 13745471004.

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, 29816410 + ... + 29816870.

It is an arithmetic number, because the mean of its divisors is an integer number (67894200).

Almost surely, 2^13745471040 is an apocalyptic number.

13745471040 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 13745471040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30416601600).

13745471040 is an abundant number, since it is smaller than the sum of its proper divisors (47087732160).

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

13745471040 is a wasteful number, since it uses less digits than its factorization.

13745471040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 13745471040 in words is "thirteen billion, seven hundred forty-five million, four hundred seventy-one thousand, forty".