42411114000 has 400 divisors, whose sum is σ = 153814106160. Its totient is φ = 11263795200.

The previous prime is 42411113999. The next prime is 42411114023. The reversal of 42411114000 is 41111424.

It can be written as a sum of positive squares in 8 ways, for example, as 23211131904 + 19199982096 = 152352^2 + 138564^2 .

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 63017664 + ... + 63018336.

Almost surely, 2^42411114000 is an apocalyptic number.

42411114000 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 42411114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76907053080).

42411114000 is an abundant number, since it is smaller than the sum of its proper divisors (111402992160).

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

42411114000 is a wasteful number, since it uses less digits than its factorization.

42411114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 42411114000 its reverse (41111424), we get a palindrome (42452225424).

The spelling of 42411114000 in words is "forty-two billion, four hundred eleven million, one hundred fourteen thousand".