42279708257280 has 1408 divisors, whose sum is σ = 165172203356160. Its totient is φ = 10320850649088.

The previous prime is 42279708257273. The next prime is 42279708257321. The reversal of 42279708257280 is 8275280797224.

42279708257280 is a `hidden beast` number, since 4 + 2 + 279 + 7 + 0 + 82 + 5 + 7 + 280 = 666.

It is a super-3 number, since 3×42279708257280³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 18486972297 + ... + 18486974583.

It is an arithmetic number, because the mean of its divisors is an integer number (117309803520).

Almost surely, 2^{42279708257280} is an apocalyptic number.

42279708257280 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 42279708257280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82586101678080).

42279708257280 is an abundant number, since it is smaller than the sum of its proper divisors (122892495098880).

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

42279708257280 is a wasteful number, since it uses less digits than its factorization.

42279708257280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2473 (or 2437 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 63.

The spelling of 42279708257280 in words is "forty-two trillion, two hundred seventy-nine billion, seven hundred eight million, two hundred fifty-seven thousand, two hundred eighty".