71148477400 has 384 divisors, whose sum is σ = 222870735360. Its totient is φ = 20399616000.

The previous prime is 71148477383. The next prime is 71148477431. The reversal of 71148477400 is 477484117.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93493020 + ... + 93493780.

It is an arithmetic number, because the mean of its divisors is an integer number (580392540).

Almost surely, 2^71148477400 is an apocalyptic number.

71148477400 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 71148477400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111435367680).

71148477400 is an abundant number, since it is smaller than the sum of its proper divisors (151722257960).

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

71148477400 is a wasteful number, since it uses less digits than its factorization.

71148477400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 175616, while the sum is 43.

The spelling of 71148477400 in words is "seventy-one billion, one hundred forty-eight million, four hundred seventy-seven thousand, four hundred".