42319577040 has 640 divisors, whose sum is σ = 155990016000. Its totient is φ = 9396559872.

The previous prime is 42319577039. The next prime is 42319577081. The reversal of 42319577040 is 4077591324.

It is a junction number, because it is equal to n+sod(n) for n = 42319576983 and 42319577001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 177069241 + ... + 177069479.

It is an arithmetic number, because the mean of its divisors is an integer number (243734400).

Almost surely, 2^42319577040 is an apocalyptic number.

42319577040 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 42319577040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77995008000).

42319577040 is an abundant number, since it is smaller than the sum of its proper divisors (113670438960).

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

42319577040 is a wasteful number, since it uses less digits than its factorization.

42319577040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 42319577040 in words is "forty-two billion, three hundred nineteen million, five hundred seventy-seven thousand, forty".