71413440 has 112 divisors (see below), whose sum is σ = 259153152. Its totient is φ = 16321536.

The previous prime is 71413417. The next prime is 71413451. The reversal of 71413440 is 4431417.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 71413440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1407 + ... + 12033.

Almost surely, 2^71413440 is an apocalyptic number.

71413440 is a gapful number since it is divisible by the number (70) 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 71413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129576576).

71413440 is an abundant number, since it is smaller than the sum of its proper divisors (187739712).

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

71413440 is a wasteful number, since it uses less digits than its factorization.

71413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10654 (or 10644 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 71413440 is about 8450.6473124844. The cubic root of 71413440 is about 414.8839662052.

71413440 divided by its product of nonzero digits (1344) gives a palindrome (53135).

Adding to 71413440 its reverse (4431417), we get a palindrome (75844857).

The spelling of 71413440 in words is "seventy-one million, four hundred thirteen thousand, four hundred forty".