4111555440 has 320 divisors, whose sum is σ = 14021102592. Its totient is φ = 993484800.

The previous prime is 4111555439. The next prime is 4111555447. The reversal of 4111555440 is 445551114.

4111555440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4111555398 and 4111555407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4111555447) 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, 8373595 + ... + 8374085.

Almost surely, 2^4111555440 is an apocalyptic number.

4111555440 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 4111555440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7010551296).

4111555440 is an abundant number, since it is smaller than the sum of its proper divisors (9909547152).

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

4111555440 is a wasteful number, since it uses less digits than its factorization.

4111555440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The square root of 4111555440 is about 64121.4117124693. The cubic root of 4111555440 is about 1602.0228892882.

The spelling of 4111555440 in words is "four billion, one hundred eleven million, five hundred fifty-five thousand, four hundred forty".