71111040000 has 1760 divisors, whose sum is σ = 326596655616. Its totient is φ = 13271040000.

The previous prime is 71111039977. The next prime is 71111040043. The reversal of 71111040000 is 4011117.

It is a tau number, because it is divible by the number of its divisors (1760).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1921919982 + ... + 1921920018.

Almost surely, 2^71111040000 is an apocalyptic number.

71111040000 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 71111040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163298327808).

71111040000 is an abundant number, since it is smaller than the sum of its proper divisors (255485615616).

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

71111040000 is a wasteful number, since it uses less digits than its factorization.

71111040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 15.

Adding to 71111040000 its reverse (4011117), we get a palindrome (71115051117).

The spelling of 71111040000 in words is "seventy-one billion, one hundred eleven million, forty thousand".