71407482491520 has 1792 divisors, whose sum is σ = 310307456736000. Its totient is φ = 15332287315968.

The previous prime is 71407482491509. The next prime is 71407482491549. The reversal of 71407482491520 is 2519428470417.

It is a happy number.

71407482491520 is a `hidden beast` number, since 7 + 1 + 4 + 0 + 7 + 4 + 8 + 24 + 91 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 42029123631 + ... + 42029125329.

Almost surely, 2^{71407482491520} is an apocalyptic number.

71407482491520 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 71407482491520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155153728368000).

71407482491520 is an abundant number, since it is smaller than the sum of its proper divisors (238899974244480).

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

71407482491520 is a wasteful number, since it uses less digits than its factorization.

71407482491520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2517 (or 2490 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 71407482491520 in words is "seventy-one trillion, four hundred seven billion, four hundred eighty-two million, four hundred ninety-one thousand, five hundred twenty".