71413978033440 has 288 divisors, whose sum is σ = 281272087789056. Its totient is φ = 16161578956800.

The previous prime is 71413978033379. The next prime is 71413978033499. The reversal of 71413978033440 is 4433087931417.

It is a happy number.

71413978033440 is a `hidden beast` number, since 7 + 1 + 4 + 1 + 3 + 97 + 80 + 33 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34054792 + ... + 36090951.

It is an arithmetic number, because the mean of its divisors is an integer number (976639193712).

Almost surely, 2^{71413978033440} is an apocalyptic number.

71413978033440 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

71413978033440 is an abundant number, since it is smaller than the sum of its proper divisors (209858109755616).

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

71413978033440 is a wasteful number, since it uses less digits than its factorization.

71413978033440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70145872 (or 70145861 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 71413978033440 in words is "seventy-one trillion, four hundred thirteen billion, nine hundred seventy-eight million, thirty-three thousand, four hundred forty".