42962745301056 has 672 divisors, whose sum is σ = 152371156654080. Its totient is φ = 11735517302784.

The previous prime is 42962745301027. The next prime is 42962745301097. The reversal of 42962745301056 is 65010354726924.

It is a happy number.

42962745301056 is a `hidden beast` number, since 4 + 2 + 9 + 627 + 4 + 5 + 3 + 0 + 1 + 0 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 42962745300993 and 42962745301011.

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, 8034922575 + ... + 8034927921.

It is an arithmetic number, because the mean of its divisors is an integer number (226742792640).

Almost surely, 2^{42962745301056} is an apocalyptic number.

42962745301056 is a gapful number since it is divisible by the number (46) 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 42962745301056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76185578327040).

42962745301056 is an abundant number, since it is smaller than the sum of its proper divisors (109408411353024).

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

42962745301056 is a wasteful number, since it uses less digits than its factorization.

42962745301056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8613 (or 8591 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 42962745301056 in words is "forty-two trillion, nine hundred sixty-two billion, seven hundred forty-five million, three hundred one thousand, fifty-six".