42152880 has 160 divisors (see below), whose sum is σ = 162989568. Its totient is φ = 8755200.

The previous prime is 42152833. The next prime is 42152893. The reversal of 42152880 is 8825124.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17340 + ... + 19620.

Almost surely, 2^42152880 is an apocalyptic number.

42152880 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 42152880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81494784).

42152880 is an abundant number, since it is smaller than the sum of its proper divisors (120836688).

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

42152880 is a wasteful number, since it uses less digits than its factorization.

42152880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2315 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 42152880 is about 6492.5249325667. The cubic root of 42152880 is about 348.0239116876.

It can be divided in two parts, 421 and 52880, that added together give a triangular number (53301 = T₃₂₆).

The spelling of 42152880 in words is "forty-two million, one hundred fifty-two thousand, eight hundred eighty".