71461339740 has 288 divisors, whose sum is σ = 263693574144. Its totient is φ = 15291832320.

The previous prime is 71461339721. The next prime is 71461339769. The reversal of 71461339740 is 4793316417.

71461339740 is a `hidden beast` number, since 71 + 461 + 33 + 97 + 4 + 0 = 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 95 ways as a sum of consecutive naturals, for example, 4082487 + ... + 4099953.

It is an arithmetic number, because the mean of its divisors is an integer number (915602688).

Almost surely, 2^71461339740 is an apocalyptic number.

71461339740 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 71461339740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131846787072).

71461339740 is an abundant number, since it is smaller than the sum of its proper divisors (192232234404).

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

71461339740 is a wasteful number, since it uses less digits than its factorization.

71461339740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17697 (or 17692 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 71461339740 in words is "seventy-one billion, four hundred sixty-one million, three hundred thirty-nine thousand, seven hundred forty".