42708996007488 has 336 divisors, whose sum is σ = 127307385354240. Its totient is φ = 14196497011200.

The previous prime is 42708996007463. The next prime is 42708996007501. The reversal of 42708996007488 is 88470069980724.

42708996007488 is a `hidden beast` number, since 4 + 2 + 7 + 0 + 8 + 9 + 9 + 600 + 7 + 4 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9999762793 + ... + 9999767063.

It is an arithmetic number, because the mean of its divisors is an integer number (378891027840).

Almost surely, 2^{42708996007488} is an apocalyptic number.

42708996007488 is a gapful number since it is divisible by the number (48) 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 42708996007488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63653692677120).

42708996007488 is an abundant number, since it is smaller than the sum of its proper divisors (84598389346752).

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

42708996007488 is a wasteful number, since it uses less digits than its factorization.

42708996007488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5948 (or 5926 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 72.

The spelling of 42708996007488 in words is "forty-two trillion, seven hundred eight billion, nine hundred ninety-six million, seven thousand, four hundred eighty-eight".