71221550400 has 2352 divisors, whose sum is σ = 358572133248. Its totient is φ = 13436928000.

The previous prime is 71221550359. The next prime is 71221550419. The reversal of 71221550400 is 405512217.

71221550400 is a `hidden beast` number, since 71 + 2 + 2 + 1 + 550 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1167566370 + ... + 1167566430.

Almost surely, 2^71221550400 is an apocalyptic number.

71221550400 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 71221550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179286066624).

71221550400 is an abundant number, since it is smaller than the sum of its proper divisors (287350582848).

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

71221550400 is a wasteful number, since it uses less digits than its factorization.

71221550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The spelling of 71221550400 in words is "seventy-one billion, two hundred twenty-one million, five hundred fifty thousand, four hundred".