4012727040 has 864 divisors, whose sum is σ = 17499256320. Its totient is φ = 859963392.

The previous prime is 4012727029. The next prime is 4012727051. The reversal of 4012727040 is 407272104.

It is a happy number.

4012727040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4012727029) and next prime (4012727051).

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×4012727040² = 32203956595094323200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4012726995 and 4012727013.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41368272 + ... + 41368368.

Almost surely, 2^4012727040 is an apocalyptic number.

4012727040 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 4012727040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8749628160).

4012727040 is an abundant number, since it is smaller than the sum of its proper divisors (13486529280).

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

4012727040 is an equidigital number, since it uses as much as digits as its factorization.

4012727040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 4012727040 is about 63346.0893820605. The cubic root of 4012727040 is about 1589.0828459295.

Adding to 4012727040 its reverse (407272104), we get a palindrome (4419999144).

The spelling of 4012727040 in words is "four billion, twelve million, seven hundred twenty-seven thousand, forty".