42280782762960 has 480 divisors, whose sum is σ = 168354329395200. Its totient is φ = 9305427225600.

The previous prime is 42280782762947. The next prime is 42280782762979. The reversal of 42280782762960 is 6926728708224.

42280782762960 is a `hidden beast` number, since 4 + 2 + 2 + 8 + 0 + 78 + 276 + 296 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30411825 + ... + 31771695.

It is an arithmetic number, because the mean of its divisors is an integer number (350738186240).

Almost surely, 2^{42280782762960} is an apocalyptic number.

42280782762960 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 42280782762960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84177164697600).

42280782762960 is an abundant number, since it is smaller than the sum of its proper divisors (126073546632240).

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

42280782762960 is a wasteful number, since it uses less digits than its factorization.

42280782762960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360127 (or 1360118 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 42280782762960 in words is "forty-two trillion, two hundred eighty billion, seven hundred eighty-two million, seven hundred sixty-two thousand, nine hundred sixty".