5442877440 has 1152 divisors, whose sum is σ = 25757222400. Its totient is φ = 1026293760.

The previous prime is 5442877423. The next prime is 5442877463. The reversal of 5442877440 is 447782445.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92252131 + ... + 92252189.

It is an arithmetic number, because the mean of its divisors is an integer number (22358700).

Almost surely, 2^5442877440 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 5442877440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12878611200).

5442877440 is an abundant number, since it is smaller than the sum of its proper divisors (20314344960).

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

5442877440 is a wasteful number, since it uses less digits than its factorization.

5442877440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 45.

The square root of 5442877440 is about 73775.8594663593. The cubic root of 5442877440 is about 1759.0419027744.

The spelling of 5442877440 in words is "five billion, four hundred forty-two million, eight hundred seventy-seven thousand, four hundred forty".