41742775800 has 1152 divisors, whose sum is σ = 174862022400. Its totient is φ = 8792064000.

The previous prime is 41742775757. The next prime is 41742775843. The reversal of 41742775800 is 857724714.

41742775800 is a `hidden beast` number, since 41 + 7 + 4 + 27 + 7 + 580 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (41742775757) and next prime (41742775843).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 390119347 + ... + 390119453.

It is an arithmetic number, because the mean of its divisors is an integer number (151789950).

Almost surely, 2^41742775800 is an apocalyptic number.

41742775800 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 41742775800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87431011200).

41742775800 is an abundant number, since it is smaller than the sum of its proper divisors (133119246600).

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

41742775800 is a wasteful number, since it uses less digits than its factorization.

41742775800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 439040, while the sum is 45.

The spelling of 41742775800 in words is "forty-one billion, seven hundred forty-two million, seven hundred seventy-five thousand, eight hundred".