71090112290400 has 864 divisors, whose sum is σ = 303416570096640. Its totient is φ = 15289762037760.

The previous prime is 71090112290377. The next prime is 71090112290411. The reversal of 71090112290400 is 409221109017.

71090112290400 is a `hidden beast` number, since 7 + 10 + 9 + 0 + 11 + 229 + 0 + 400 = 666.

It is a super-2 number, since 2×71090112290400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5465520697 + ... + 5465533703.

It is an arithmetic number, because the mean of its divisors is an integer number (351176585760).

Almost surely, 2^{71090112290400} is an apocalyptic number.

71090112290400 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 71090112290400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151708285048320).

71090112290400 is an abundant number, since it is smaller than the sum of its proper divisors (232326457806240).

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

71090112290400 is a wasteful number, since it uses less digits than its factorization.

71090112290400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19436 (or 19420 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

Adding to 71090112290400 its reverse (409221109017), we get a palindrome (71499333399417).

The spelling of 71090112290400 in words is "seventy-one trillion, ninety billion, one hundred twelve million, two hundred ninety thousand, four hundred".