4132454400 has 540 divisors, whose sum is σ = 15846121200. Its totient is φ = 1026293760.

The previous prime is 4132454399. The next prime is 4132454423. The reversal of 4132454400 is 44542314.

It is a happy number.

4132454400 is a `hidden beast` number, since 4 + 13 + 245 + 4 + 400 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 70041571 + ... + 70041629.

Almost surely, 2^4132454400 is an apocalyptic number.

4132454400 is a gapful number since it is divisible by the number (40) 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 4132454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7923060600).

4132454400 is an abundant number, since it is smaller than the sum of its proper divisors (11713666800).

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

4132454400 is a wasteful number, since it uses less digits than its factorization.

4132454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 4132454400 is about 64284.1691242875. The cubic root of 4132454400 is about 1604.7326541050.

Adding to 4132454400 its reverse (44542314), we get a palindrome (4176996714).

The spelling of 4132454400 in words is "four billion, one hundred thirty-two million, four hundred fifty-four thousand, four hundred".