42174935550 has 768 divisors, whose sum is σ = 142790860800. Its totient is φ = 9032601600.

The previous prime is 42174935533. The next prime is 42174935581. The reversal of 42174935550 is 5553947124.

42174935550 is a `hidden beast` number, since 4 + 2 + 1 + 7 + 4 + 93 + 5 + 550 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 42174935496 and 42174935505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 434793102 + ... + 434793198.

It is an arithmetic number, because the mean of its divisors is an integer number (185925600).

Almost surely, 2^42174935550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42174935550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71395430400).

42174935550 is an abundant number, since it is smaller than the sum of its proper divisors (100615925250).

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

42174935550 is a wasteful number, since it uses less digits than its factorization.

42174935550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 42174935550 in words is "forty-two billion, one hundred seventy-four million, nine hundred thirty-five thousand, five hundred fifty".