71199959040 has 480 divisors, whose sum is σ = 291684032640. Its totient is φ = 16272949248.

The previous prime is 71199959021. The next prime is 71199959041. The reversal of 71199959040 is 4095999117.

71199959040 is a `hidden beast` number, since 7 + 1 + 1 + 9 + 9 + 9 + 590 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (71199959041) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5799949 + ... + 5812211.

It is an arithmetic number, because the mean of its divisors is an integer number (607675068).

Almost surely, 2^71199959040 is an apocalyptic number.

71199959040 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 71199959040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145842016320).

71199959040 is an abundant number, since it is smaller than the sum of its proper divisors (220484073600).

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

71199959040 is a wasteful number, since it uses less digits than its factorization.

71199959040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12309 (or 12280 counting only the distinct ones).

The product of its (nonzero) digits is 918540, while the sum is 54.

The spelling of 71199959040 in words is "seventy-one billion, one hundred ninety-nine million, nine hundred fifty-nine thousand, forty".