71318777400 has 576 divisors, whose sum is σ = 281712103200. Its totient is φ = 16519127040.

The previous prime is 71318777371. The next prime is 71318777419. The reversal of 71318777400 is 477781317.

71318777400 is a `hidden beast` number, since 71 + 31 + 87 + 77 + 400 = 666.

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, 15511902 + ... + 15516498.

Almost surely, 2^71318777400 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 71318777400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140856051600).

71318777400 is an abundant number, since it is smaller than the sum of its proper divisors (210393325800).

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

71318777400 is a wasteful number, since it uses less digits than its factorization.

71318777400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4665 (or 4637 counting only the distinct ones).

The product of its (nonzero) digits is 230496, while the sum is 45.

The spelling of 71318777400 in words is "seventy-one billion, three hundred eighteen million, seven hundred seventy-seven thousand, four hundred".