71406311400 has 480 divisors, whose sum is σ = 264886617600. Its totient is φ = 17788377600.

The previous prime is 71406311357. The next prime is 71406311447. The reversal of 71406311400 is 411360417.

It is a happy number.

71406311400 is a `hidden beast` number, since 7 + 14 + 0 + 631 + 14 + 0 + 0 = 666.

It is a super-2 number, since 2×71406311400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 14561349 + ... + 14566251.

It is an arithmetic number, because the mean of its divisors is an integer number (551847120).

Almost surely, 2^71406311400 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 71406311400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132443308800).

71406311400 is an abundant number, since it is smaller than the sum of its proper divisors (193480306200).

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

71406311400 is a wasteful number, since it uses less digits than its factorization.

71406311400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4991 (or 4973 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 71406311400 its reverse (411360417), we get a palindrome (71817671817).

The spelling of 71406311400 in words is "seventy-one billion, four hundred six million, three hundred eleven thousand, four hundred".