42077153760 has 192 divisors, whose sum is σ = 139695736320. Its totient is φ = 10616555520.

The previous prime is 42077153693. The next prime is 42077153869. The reversal of 42077153760 is 6735177024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8579469 + ... + 8584371.

It is an arithmetic number, because the mean of its divisors is an integer number (727581960).

Almost surely, 2^42077153760 is an apocalyptic number.

42077153760 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 42077153760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69847868160).

42077153760 is an abundant number, since it is smaller than the sum of its proper divisors (97618582560).

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

42077153760 is a wasteful number, since it uses less digits than its factorization.

42077153760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5881 (or 5873 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 42.

The spelling of 42077153760 in words is "forty-two billion, seventy-seven million, one hundred fifty-three thousand, seven hundred sixty".