42785114457600 has 1200 divisors, whose sum is σ = 168242932321200. Its totient is φ = 10717930782720.

The previous prime is 42785114457539. The next prime is 42785114457601. The reversal of 42785114457600 is 675441158724.

It is a happy number.

42785114457600 is a `hidden beast` number, since 4 + 2 + 7 + 8 + 51 + 14 + 4 + 576 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42785114457601) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1112467171 + ... + 1112505629.

It is an arithmetic number, because the mean of its divisors is an integer number (140202443601).

Almost surely, 2^{42785114457600} is an apocalyptic number.

42785114457600 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 42785114457600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84121466160600).

42785114457600 is an abundant number, since it is smaller than the sum of its proper divisors (125457817863600).

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

42785114457600 is a wasteful number, since it uses less digits than its factorization.

42785114457600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38565 (or 38535 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 42785114457600 in words is "forty-two trillion, seven hundred eighty-five billion, one hundred fourteen million, four hundred fifty-seven thousand, six hundred".