442264083750 has 320 divisors, whose sum is σ = 1263990393600. Its totient is φ = 114524928000.

The previous prime is 442264083727. The next prime is 442264083773. The reversal of 442264083750 is 57380462244.

It is a happy number.

442264083750 is a `hidden beast` number, since 442 + 2 + 64 + 0 + 83 + 75 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (442264083727) and next prime (442264083773).

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 = 442264083696 and 442264083705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 280090461 + ... + 280092039.

It is an arithmetic number, because the mean of its divisors is an integer number (3949969980).

Almost surely, 2^442264083750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442264083750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631995196800).

442264083750 is an abundant number, since it is smaller than the sum of its proper divisors (821726309850).

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

442264083750 is a wasteful number, since it uses less digits than its factorization.

442264083750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1846 (or 1825 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 442264083750 in words is "four hundred forty-two billion, two hundred sixty-four million, eighty-three thousand, seven hundred fifty".