71958529440 has 768 divisors, whose sum is σ = 300003056640. Its totient is φ = 15765995520.

The previous prime is 71958529421. The next prime is 71958529457. The reversal of 71958529440 is 4492585917.

It is a happy number.

71958529440 is a `hidden beast` number, since 7 + 19 + 585 + 2 + 9 + 4 + 40 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 81677800 + ... + 81678680.

It is an arithmetic number, because the mean of its divisors is an integer number (390628980).

Almost surely, 2^71958529440 is an apocalyptic number.

71958529440 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 71958529440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150001528320).

71958529440 is an abundant number, since it is smaller than the sum of its proper divisors (228044527200).

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

71958529440 is a wasteful number, since it uses less digits than its factorization.

71958529440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 71958529440 in words is "seventy-one billion, nine hundred fifty-eight million, five hundred twenty-nine thousand, four hundred forty".