71466071040 has 2112 divisors, whose sum is σ = 345232281600. Its totient is φ = 13663862784.

The previous prime is 71466071003. The next prime is 71466071081. The reversal of 71466071040 is 4017066417.

71466071040 is a `hidden beast` number, since 7 + 1 + 4 + 6 + 607 + 1 + 0 + 40 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 71466070986 and 71466071004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3107220469 + ... + 3107220491.

Almost surely, 2^71466071040 is an apocalyptic number.

71466071040 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 71466071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172616140800).

71466071040 is an abundant number, since it is smaller than the sum of its proper divisors (273766210560).

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

71466071040 is a wasteful number, since it uses less digits than its factorization.

71466071040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 71466071040 in words is "seventy-one billion, four hundred sixty-six million, seventy-one thousand, forty".