71361275440 has 240 divisors, whose sum is σ = 213472711872. Its totient is φ = 21973690368.

The previous prime is 71361275431. The next prime is 71361275459. The reversal of 71361275440 is 4457216317.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 71361275393 and 71361275402.

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 47 ways as a sum of consecutive naturals, for example, 1866597 + ... + 1904443.

Almost surely, 2^71361275440 is an apocalyptic number.

71361275440 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 71361275440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106736355936).

71361275440 is an abundant number, since it is smaller than the sum of its proper divisors (142111436432).

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

71361275440 is a wasteful number, since it uses less digits than its factorization.

71361275440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37924 (or 37911 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The spelling of 71361275440 in words is "seventy-one billion, three hundred sixty-one million, two hundred seventy-five thousand, four hundred forty".