5414070400 has 48 divisors (see below), whose sum is σ = 13374453690. Its totient is φ = 2165626880.

The previous prime is 5414070391. The next prime is 5414070401. The reversal of 5414070400 is 40704145.

It can be written as a sum of positive squares in 3 ways, for example, as 3494228544 + 1919841856 = 59112^2 + 43816^2 .

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 (5414070401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 842749 + ... + 849148.

Almost surely, 2^5414070400 is an apocalyptic number.

5414070400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5414070400 is an abundant number, since it is smaller than the sum of its proper divisors (7960383290).

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

5414070400 is a wasteful number, since it uses less digits than its factorization.

5414070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691921 (or 1691904 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 25.

The square root of 5414070400 is about 73580.3669466251. The cubic root of 5414070400 is about 1755.9331028214.

Adding to 5414070400 its reverse (40704145), we get a palindrome (5454774545).

The spelling of 5414070400 in words is "five billion, four hundred fourteen million, seventy thousand, four hundred".