5345411400 has 192 divisors, whose sum is σ = 21042403200. Its totient is φ = 1221799680.

The previous prime is 5345411389. The next prime is 5345411411. The reversal of 5345411400 is 41145435.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5345411389) and next prime (5345411411).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32907 + ... + 108506.

It is an arithmetic number, because the mean of its divisors is an integer number (109595850).

Almost surely, 2^5345411400 is an apocalyptic number.

5345411400 is a gapful number since it is divisible by the number (50) 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 5345411400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10521201600).

5345411400 is an abundant number, since it is smaller than the sum of its proper divisors (15696991800).

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

5345411400 is a wasteful number, since it uses less digits than its factorization.

5345411400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141445 (or 141430 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5345411400 is about 73112.3204391709. The cubic root of 5345411400 is about 1748.4788305031.

Adding to 5345411400 its reverse (41145435), we get a palindrome (5386556835).

The spelling of 5345411400 in words is "five billion, three hundred forty-five million, four hundred eleven thousand, four hundred".