5540451840 has 800 divisors, whose sum is σ = 24812054784. Its totient is φ = 1147944960.

The previous prime is 5540451823. The next prime is 5540451841. The reversal of 5540451840 is 481540455.

It is a happy number.

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 = 5540451795 and 5540451804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5540451841) 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, 15966547 + ... + 15966893.

Almost surely, 2^5540451840 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 5540451840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12406027392).

5540451840 is an abundant number, since it is smaller than the sum of its proper divisors (19271602944).

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

5540451840 is a wasteful number, since it uses less digits than its factorization.

5540451840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The square root of 5540451840 is about 74434.2114890727. The cubic root of 5540451840 is about 1769.4911493312.

The spelling of 5540451840 in words is "five billion, five hundred forty million, four hundred fifty-one thousand, eight hundred forty".