41942016000 has 896 divisors, whose sum is σ = 163158952320. Its totient is φ = 10616832000.

The previous prime is 41942015897. The next prime is 41942016001. The reversal of 41942016000 is 61024914.

41942016000 is a `hidden beast` number, since 4 + 19 + 42 + 0 + 1 + 600 + 0 = 666.

It is a super-2 number, since 2×41942016000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41942016001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1022975980 + ... + 1022976020.

It is an arithmetic number, because the mean of its divisors is an integer number (182097045).

Almost surely, 2^41942016000 is an apocalyptic number.

41942016000 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 41942016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81579476160).

41942016000 is an abundant number, since it is smaller than the sum of its proper divisors (121216936320).

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

41942016000 is an equidigital number, since it uses as much as digits as its factorization.

41942016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 41942016000 in words is "forty-one billion, nine hundred forty-two million, sixteen thousand".