42877440 has 120 divisors (see below), whose sum is σ = 148576428. Its totient is φ = 11427840.

The previous prime is 42877427. The next prime is 42877453. The reversal of 42877440 is 4477824.

It is an interprime number because it is at equal distance from previous prime (42877427) and next prime (42877453).

It can be written as a sum of positive squares in 2 ways, for example, as 34857216 + 8020224 = 5904^2 + 2832^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 = 42877395 and 42877404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22110 + ... + 23970.

Almost surely, 2^42877440 is an apocalyptic number.

42877440 is a gapful number since it is divisible by the number (40) 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 42877440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74288214).

42877440 is an abundant number, since it is smaller than the sum of its proper divisors (105698988).

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

42877440 is a wasteful number, since it uses less digits than its factorization.

42877440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 42877440 is about 6548.0867434694. The cubic root of 42877440 is about 350.0066393298.

The spelling of 42877440 in words is "forty-two million, eight hundred seventy-seven thousand, four hundred forty".