42780018240 has 224 divisors, whose sum is σ = 151057416960. Its totient is φ = 11397500928.

The previous prime is 42780018227. The next prime is 42780018257. The reversal of 42780018240 is 4281008724.

It is a super-2 number, since 2×42780018240² (a number of 22 digits) contains 22 as substring.

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 = 42780018195 and 42780018204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15403732 + ... + 15406508.

Almost surely, 2^42780018240 is an apocalyptic number.

42780018240 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 42780018240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75528708480).

42780018240 is an abundant number, since it is smaller than the sum of its proper divisors (108277398720).

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

42780018240 is a wasteful number, since it uses less digits than its factorization.

42780018240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4586 (or 4570 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

It can be divided in two parts, 427800 and 18240, that added together give a triangular number (446040 = T₉₄₄).

The spelling of 42780018240 in words is "forty-two billion, seven hundred eighty million, eighteen thousand, two hundred forty".