54141215040 has 672 divisors, whose sum is σ = 211327788672. Its totient is φ = 12607488000.

The previous prime is 54141214901. The next prime is 54141215041. The reversal of 54141215040 is 4051214145.

It is a junction number, because it is equal to n+sod(n) for n = 54141214995 and 54141215013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54141215041) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 94817955 + ... + 94818525.

It is an arithmetic number, because the mean of its divisors is an integer number (314475876).

Almost surely, 2^54141215040 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 54141215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105663894336).

54141215040 is an abundant number, since it is smaller than the sum of its proper divisors (157186573632).

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

54141215040 is a wasteful number, since it uses less digits than its factorization.

54141215040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 54141215040 its reverse (4051214145), we get a palindrome (58192429185).

The spelling of 54141215040 in words is "fifty-four billion, one hundred forty-one million, two hundred fifteen thousand, forty".