4011786240 has 544 divisors, whose sum is σ = 16307329536. Its totient is φ = 817889280.

The previous prime is 4011786211. The next prime is 4011786241. The reversal of 4011786240 is 426871104.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4011786241) 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, 75694054 + ... + 75694106.

Almost surely, 2^4011786240 is an apocalyptic number.

4011786240 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 4011786240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8153664768).

4011786240 is an abundant number, since it is smaller than the sum of its proper divisors (12295543296).

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

4011786240 is an equidigital number, since it uses as much as digits as its factorization.

4011786240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 4011786240 is about 63338.6630739867. The cubic root of 4011786240 is about 1588.9586472670.

The spelling of 4011786240 in words is "four billion, eleven million, seven hundred eighty-six thousand, two hundred forty".