71461395900 has 432 divisors, whose sum is σ = 241676198400. Its totient is φ = 17607352320.

The previous prime is 71461395871. The next prime is 71461395931. The reversal of 71461395900 is 959316417.

71461395900 is a `hidden beast` number, since 7 + 1 + 46 + 13 + 9 + 590 + 0 = 666.

It is a super-2 number, since 2×71461395900² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 194717517 + ... + 194717883.

Almost surely, 2^71461395900 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 71461395900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120838099200).

71461395900 is an abundant number, since it is smaller than the sum of its proper divisors (170214802500).

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

71461395900 is a wasteful number, since it uses less digits than its factorization.

71461395900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 71461395900 in words is "seventy-one billion, four hundred sixty-one million, three hundred ninety-five thousand, nine hundred".