71498966630400 has 1728 divisors, whose sum is σ = 274608423936000. Its totient is φ = 18218483712000.

The previous prime is 71498966630387. The next prime is 71498966630417. The reversal of 71498966630400 is 403666989417.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×71498966630400² (a number of 29 digits) contains 22 as substring.

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, 359291289501 + ... + 359291289699.

It is an arithmetic number, because the mean of its divisors is an integer number (158916912000).

Almost surely, 2^{71498966630400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71498966630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137304211968000).

71498966630400 is an abundant number, since it is smaller than the sum of its proper divisors (203109457305600).

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

71498966630400 is a wasteful number, since it uses less digits than its factorization.

71498966630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 71498966630400 in words is "seventy-one trillion, four hundred ninety-eight billion, nine hundred sixty-six million, six hundred thirty thousand, four hundred".