71930557440 has 1408 divisors, whose sum is σ = 313633152000. Its totient is φ = 15606743040.

The previous prime is 71930557427. The next prime is 71930557493. The reversal of 71930557440 is 4475503917.

71930557440 is a `hidden beast` number, since 7 + 1 + 9 + 30 + 5 + 574 + 40 = 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 127 ways as a sum of consecutive naturals, for example, 1754403820 + ... + 1754403860.

Almost surely, 2^71930557440 is an apocalyptic number.

71930557440 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 71930557440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156816576000).

71930557440 is an abundant number, since it is smaller than the sum of its proper divisors (241702594560).

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

71930557440 is a wasteful number, since it uses less digits than its factorization.

71930557440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 71930557440 in words is "seventy-one billion, nine hundred thirty million, five hundred fifty-seven thousand, four hundred forty".