4011042287616 has 416 divisors, whose sum is σ = 13192742803968. Its totient is φ = 1055454658560.

The previous prime is 4011042287611. The next prime is 4011042287617. The reversal of 4011042287616 is 6167822401104.

It is a tau number, because it is divible by the number of its divisors (416).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (4011042287611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 522199296 + ... + 522206976.

It is an arithmetic number, because the mean of its divisors is an integer number (31713324048).

Almost surely, 2^{4011042287616} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4011042287616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6596371401984).

4011042287616 is an abundant number, since it is smaller than the sum of its proper divisors (9181700516352).

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

4011042287616 is a wasteful number, since it uses less digits than its factorization.

4011042287616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8195 (or 8173 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 4011042287616 in words is "four trillion, eleven billion, forty-two million, two hundred eighty-seven thousand, six hundred sixteen".