4111928267040 has 1152 divisors, whose sum is σ = 16146593084160. Its totient is φ = 976396861440.

The previous prime is 4111928267017. The next prime is 4111928267093. The reversal of 4111928267040 is 407628291114.

4111928267040 is a `hidden beast` number, since 411 + 1 + 92 + 82 + 6 + 70 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7517236047 + ... + 7517236593.

It is an arithmetic number, because the mean of its divisors is an integer number (14016139830).

Almost surely, 2^{4111928267040} is an apocalyptic number.

4111928267040 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 4111928267040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8073296542080).

4111928267040 is an abundant number, since it is smaller than the sum of its proper divisors (12034664817120).

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

4111928267040 is a wasteful number, since it uses less digits than its factorization.

4111928267040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 4111928267040 in words is "four trillion, one hundred eleven billion, nine hundred twenty-eight million, two hundred sixty-seven thousand, forty".