5411078400 has 864 divisors, whose sum is σ = 23277399040. Its totient is φ = 1074954240.

The previous prime is 5411078399. The next prime is 5411078401. The reversal of 5411078400 is 48701145.

It is an interprime number because it is at equal distance from previous prime (5411078399) and next prime (5411078401).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (5411078401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33196719 + ... + 33196881.

Almost surely, 2^5411078400 is an apocalyptic number.

5411078400 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 5411078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11638699520).

5411078400 is an abundant number, since it is smaller than the sum of its proper divisors (17866320640).

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

5411078400 is a wasteful number, since it uses less digits than its factorization.

5411078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 5411078400 is about 73560.0326264202. The cubic root of 5411078400 is about 1755.6095803726.

Adding to 5411078400 its reverse (48701145), we get a palindrome (5459779545).

The spelling of 5411078400 in words is "five billion, four hundred eleven million, seventy-eight thousand, four hundred".