71404895019744 has 1728 divisors, whose sum is σ = 254590057193472. Its totient is φ = 19427782348800.

The previous prime is 71404895019701. The next prime is 71404895019779. The reversal of 71404895019744 is 44791059840417.

71404895019744 is a `hidden beast` number, since 7 + 1 + 4 + 0 + 4 + 89 + 501 + 9 + 7 + 44 = 666.

It is a super-2 number, since 2×71404895019744² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 232589234439 + ... + 232589234745.

It is an arithmetic number, because the mean of its divisors is an integer number (147332209024).

Almost surely, 2^{71404895019744} 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 71404895019744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127295028596736).

71404895019744 is an abundant number, since it is smaller than the sum of its proper divisors (183185162173728).

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

71404895019744 is a wasteful number, since it uses less digits than its factorization.

71404895019744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 71404895019744 in words is "seventy-one trillion, four hundred four billion, eight hundred ninety-five million, nineteen thousand, seven hundred forty-four".