54334144535040 has 3200 divisors, whose sum is σ = 222363923798016. Its totient is φ = 12612796416000.

The previous prime is 54334144535029. The next prime is 54334144535051. The reversal of 54334144535040 is 4053544143345.

54334144535040 is a `hidden beast` number, since 5 + 4 + 3 + 34 + 1 + 44 + 535 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (54334144535029) and next prime (54334144535051).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 300188643750 + ... + 300188643930.

Almost surely, 2^{54334144535040} 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 54334144535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111181961899008).

54334144535040 is an abundant number, since it is smaller than the sum of its proper divisors (168029779262976).

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

54334144535040 is a wasteful number, since it uses less digits than its factorization.

54334144535040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 45.

Adding to 54334144535040 its reverse (4053544143345), we get a palindrome (58387688678385).

The spelling of 54334144535040 in words is "fifty-four trillion, three hundred thirty-four billion, one hundred forty-four million, five hundred thirty-five thousand, forty".