415432054400 has 192 divisors, whose sum is σ = 1133721187200. Its totient is φ = 149152972800.

The previous prime is 415432054369. The next prime is 415432054439. The reversal of 415432054400 is 4450234514.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2706104 + ... + 2855496.

It is an arithmetic number, because the mean of its divisors is an integer number (5904797850).

Almost surely, 2^415432054400 is an apocalyptic number.

415432054400 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 415432054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566860593600).

415432054400 is an abundant number, since it is smaller than the sum of its proper divisors (718289132800).

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

415432054400 is a wasteful number, since it uses less digits than its factorization.

415432054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149507 (or 149490 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

Adding to 415432054400 its reverse (4450234514), we get a palindrome (419882288914).

The spelling of 415432054400 in words is "four hundred fifteen billion, four hundred thirty-two million, fifty-four thousand, four hundred".