42948482709600 has 4608 divisors, whose sum is σ = 193712601600000. Its totient is φ = 9187633889280.

The previous prime is 42948482709551. The next prime is 42948482709641. The reversal of 42948482709600 is 690728484924.

42948482709600 is a `hidden beast` number, since 4 + 2 + 9 + 484 + 82 + 70 + 9 + 6 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 288244850326 + ... + 288244850474.

It is an arithmetic number, because the mean of its divisors is an integer number (42038325000).

Almost surely, 2^{42948482709600} is an apocalyptic number.

42948482709600 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 42948482709600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96856300800000).

42948482709600 is an abundant number, since it is smaller than the sum of its proper divisors (150764118890400).

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

42948482709600 is a wasteful number, since it uses less digits than its factorization.

42948482709600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 42948482709600 in words is "forty-two trillion, nine hundred forty-eight billion, four hundred eighty-two million, seven hundred nine thousand, six hundred".