71480333702400 has 864 divisors, whose sum is σ = 272889578615808. Its totient is φ = 16139973427200.

The previous prime is 71480333702383. The next prime is 71480333702441. The reversal of 71480333702400 is 420733308417.

It is a happy number.

It is a super-2 number, since 2×71480333702400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4662462735 + ... + 4662478065.

Almost surely, 2^{71480333702400} is an apocalyptic number.

71480333702400 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 71480333702400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136444789307904).

71480333702400 is an abundant number, since it is smaller than the sum of its proper divisors (201409244913408).

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

71480333702400 is a wasteful number, since it uses less digits than its factorization.

71480333702400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15787 (or 15768 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 71480333702400 in words is "seventy-one trillion, four hundred eighty billion, three hundred thirty-three million, seven hundred two thousand, four hundred".