54409400352 has 240 divisors, whose sum is σ = 165420807552. Its totient is φ = 17533463040.

The previous prime is 54409400347. The next prime is 54409400387. The reversal of 54409400352 is 25300490445.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10108702 + ... + 10114082.

Almost surely, 2^54409400352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54409400352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82710403776).

54409400352 is an abundant number, since it is smaller than the sum of its proper divisors (111011407200).

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

54409400352 is a wasteful number, since it uses less digits than its factorization.

54409400352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5533 (or 5516 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 54409400352 its reverse (25300490445), we get a palindrome (79709890797).

The spelling of 54409400352 in words is "fifty-four billion, four hundred nine million, four hundred thousand, three hundred fifty-two".