42778039920 has 480 divisors, whose sum is σ = 167999913984. Its totient is φ = 8813629440.

The previous prime is 42778039873. The next prime is 42778039939. The reversal of 42778039920 is 2993087724.

42778039920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42778039920² (a number of 22 digits) contains 22 as substring.

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, 25815732 + ... + 25817388.

Almost surely, 2^42778039920 is an apocalyptic number.

42778039920 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 42778039920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83999956992).

42778039920 is an abundant number, since it is smaller than the sum of its proper divisors (125221874064).

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

42778039920 is a wasteful number, since it uses less digits than its factorization.

42778039920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829 (or 1812 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 51.

The spelling of 42778039920 in words is "forty-two billion, seven hundred seventy-eight million, thirty-nine thousand, nine hundred twenty".