7471414000 has 80 divisors (see below), whose sum is σ = 18241778880. Its totient is φ = 2959468800.

The previous prime is 7471413977. The next prime is 7471414007. The reversal of 7471414000 is 4141747.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 7471414000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7471414007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187866 + ... + 224134.

It is an arithmetic number, because the mean of its divisors is an integer number (228022236).

Almost surely, 2^7471414000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7471414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9120889440).

7471414000 is an abundant number, since it is smaller than the sum of its proper divisors (10770364880).

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

7471414000 is a wasteful number, since it uses less digits than its factorization.

7471414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36395 (or 36379 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 7471414000 is about 86437.3414676782. The cubic root of 7471414000 is about 1954.9437563811.

Adding to 7471414000 its reverse (4141747), we get a palindrome (7475555747).

The spelling of 7471414000 in words is "seven billion, four hundred seventy-one million, four hundred fourteen thousand".