5413350400 has 132 divisors (see below), whose sum is σ = 13555430512. Its totient is φ = 2143272960.

The previous prime is 5413350391. The next prime is 5413350407. The reversal of 5413350400 is 40533145.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (5413350407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2635774 + ... + 2637826.

Almost surely, 2^5413350400 is an apocalyptic number.

5413350400 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 5413350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6777715256).

5413350400 is an abundant number, since it is smaller than the sum of its proper divisors (8142080112).

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

5413350400 is a wasteful number, since it uses less digits than its factorization.

5413350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2186 (or 2163 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 5413350400 is about 73575.4741744829. The cubic root of 5413350400 is about 1755.8552607181.

Adding to 5413350400 its reverse (40533145), we get a palindrome (5453883545).

The spelling of 5413350400 in words is "five billion, four hundred thirteen million, three hundred fifty thousand, four hundred".