71835488461440 has 1536 divisors, whose sum is σ = 299049305667840. Its totient is φ = 16284840099840.

The previous prime is 71835488461433. The next prime is 71835488461441. The reversal of 71835488461440 is 4416488453817.

71835488461440 is a `hidden beast` number, since 7 + 1 + 8 + 3 + 5 + 4 + 8 + 8 + 4 + 614 + 4 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (71835488461441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4565903814 + ... + 4565919546.

Almost surely, 2^{71835488461440} 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 71835488461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149524652833920).

71835488461440 is an abundant number, since it is smaller than the sum of its proper divisors (227213817206400).

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

71835488461440 is a wasteful number, since it uses less digits than its factorization.

71835488461440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15952 (or 15928 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 63.

The spelling of 71835488461440 in words is "seventy-one trillion, eight hundred thirty-five billion, four hundred eighty-eight million, four hundred sixty-one thousand, four hundred forty".