5540371200 has 972 divisors, whose sum is σ = 24978849168. Its totient is φ = 1161216000.

The previous prime is 5540371171. The next prime is 5540371237. The reversal of 5540371200 is 21730455.

It is a happy number.

5540371200 is a `hidden beast` number, since 55 + 40 + 371 + 200 = 666.

It is a super-3 number, since 3×5540371200³ (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 36691125 + ... + 36691275.

Almost surely, 2^5540371200 is an apocalyptic number.

5540371200 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 5540371200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12489424584).

5540371200 is an abundant number, since it is smaller than the sum of its proper divisors (19438477968).

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

5540371200 is a wasteful number, since it uses less digits than its factorization.

5540371200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 5540371200 is about 74433.6698007024. The cubic root of 5540371200 is about 1769.4825644442.

The spelling of 5540371200 in words is "five billion, five hundred forty million, three hundred seventy-one thousand, two hundred".