4011432334440 has 256 divisors, whose sum is σ = 12520944817920. Its totient is φ = 1027271393280.

The previous prime is 4011432334433. The next prime is 4011432334501. The reversal of 4011432334440 is 444332341104.

It is a super-2 number, since 2×4011432334440² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 160631155 + ... + 160656125.

It is an arithmetic number, because the mean of its divisors is an integer number (48909940695).

Almost surely, 2^{4011432334440} is an apocalyptic number.

4011432334440 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 4011432334440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6260472408960).

4011432334440 is an abundant number, since it is smaller than the sum of its proper divisors (8509512483480).

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

4011432334440 is a wasteful number, since it uses less digits than its factorization.

4011432334440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25492 (or 25488 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 4011432334440 its reverse (444332341104), we get a palindrome (4455764675544).

The spelling of 4011432334440 in words is "four trillion, eleven billion, four hundred thirty-two million, three hundred thirty-four thousand, four hundred forty".