5542038144 has 320 divisors, whose sum is σ = 17464423680. Its totient is φ = 1741824000.

The previous prime is 5542038137. The next prime is 5542038167. The reversal of 5542038144 is 4418302455.

It is a happy number.

5542038144 is a `hidden beast` number, since 554 + 20 + 3 + 81 + 4 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5542038099 and 5542038108.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13820344 + ... + 13820744.

It is an arithmetic number, because the mean of its divisors is an integer number (54576324).

Almost surely, 2^5542038144 is an apocalyptic number.

5542038144 is a gapful number since it is divisible by the number (54) 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 5542038144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8732211840).

5542038144 is an abundant number, since it is smaller than the sum of its proper divisors (11922385536).

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

5542038144 is a wasteful number, since it uses less digits than its factorization.

5542038144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 5542038144 is about 74444.8664717722. The cubic root of 5542038144 is about 1769.6600093882.

The spelling of 5542038144 in words is "five billion, five hundred forty-two million, thirty-eight thousand, one hundred forty-four".