5540940000 has 480 divisors, whose sum is σ = 20909306880. Its totient is φ = 1425600000.

The previous prime is 5540939981. The next prime is 5540940001. The reversal of 5540940000 is 490455.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5540940001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16739835 + ... + 16740165.

It is an arithmetic number, because the mean of its divisors is an integer number (43561056).

Almost surely, 2^5540940000 is an apocalyptic number.

5540940000 is a gapful number since it is divisible by the number (50) 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 5540940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10454653440).

5540940000 is an abundant number, since it is smaller than the sum of its proper divisors (15368366880).

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

5540940000 is a wasteful number, since it uses less digits than its factorization.

5540940000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 5540940000 is about 74437.4905541556. The cubic root of 5540940000 is about 1769.5431167793.

The spelling of 5540940000 in words is "five billion, five hundred forty million, nine hundred forty thousand".