42678861120 has 560 divisors, whose sum is σ = 176001078528. Its totient is φ = 9614868480.

The previous prime is 42678861103. The next prime is 42678861149. The reversal of 42678861120 is 2116887624.

42678861120 is a `hidden beast` number, since 4 + 2 + 6 + 7 + 8 + 8 + 611 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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 79 ways as a sum of consecutive naturals, for example, 12880584 + ... + 12883896.

Almost surely, 2^42678861120 is an apocalyptic number.

42678861120 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 42678861120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88000539264).

42678861120 is an abundant number, since it is smaller than the sum of its proper divisors (133322217408).

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

42678861120 is a wasteful number, since it uses less digits than its factorization.

42678861120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3420 (or 3401 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 42678861120 in words is "forty-two billion, six hundred seventy-eight million, eight hundred sixty-one thousand, one hundred twenty".