7111426400 has 576 divisors, whose sum is σ = 21851726400. Its totient is φ = 2229534720.

The previous prime is 7111426397. The next prime is 7111426423. The reversal of 7111426400 is 46241117.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 7111426400.

It is a congruent number.

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, 97416764 + ... + 97416836.

It is an arithmetic number, because the mean of its divisors is an integer number (37937025).

Almost surely, 2^7111426400 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 7111426400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10925863200).

7111426400 is an abundant number, since it is smaller than the sum of its proper divisors (14740300000).

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

7111426400 is a wasteful number, since it uses less digits than its factorization.

7111426400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 7111426400 is about 84329.2736835792. The cubic root of 7111426400 is about 1923.0278469856.

Adding to 7111426400 its reverse (46241117), we get a palindrome (7157667517).

The spelling of 7111426400 in words is "seven billion, one hundred eleven million, four hundred twenty-six thousand, four hundred".