855142041600 has 1944 divisors, whose sum is σ = 3928394523690. Its totient is φ = 177124147200.

The previous prime is 855142041571. The next prime is 855142041643. The reversal of 855142041600 is 6140241558.

It is a happy number.

855142041600 is a `hidden beast` number, since 8 + 5 + 5 + 1 + 4 + 2 + 0 + 41 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 341018625024 + 514123416576 = 583968^2 + 717024^2 .

It is a super-2 number, since 2×855142041600² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 2732083044 + ... + 2732083356.

Almost surely, 2^855142041600 is an apocalyptic number.

855142041600 is a gapful number since it is divisible by the number (80) 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 855142041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964197261845).

855142041600 is an abundant number, since it is smaller than the sum of its proper divisors (3073252482090).

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

855142041600 is a wasteful number, since it uses less digits than its factorization.

855142041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 855142041600 in words is "eight hundred fifty-five billion, one hundred forty-two million, forty-one thousand, six hundred".