42065049600 has 1512 divisors, whose sum is σ = 189811210680. Its totient is φ = 9196830720.

The previous prime is 42065049571. The next prime is 42065049629. The reversal of 42065049600 is 694056024.

42065049600 is a `hidden beast` number, since 4 + 2 + 0 + 6 + 5 + 0 + 49 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (42065049571) and next prime (42065049629).

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 1828915189 + ... + 1828915211.

It is an arithmetic number, because the mean of its divisors is an integer number (125536515).

Almost surely, 2^42065049600 is an apocalyptic number.

42065049600 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 42065049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94905605340).

42065049600 is an abundant number, since it is smaller than the sum of its proper divisors (147746161080).

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

42065049600 is an equidigital number, since it uses as much as digits as its factorization.

42065049600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 42065049600 in words is "forty-two billion, sixty-five million, forty-nine thousand, six hundred".