4024135413440 has 112 divisors (see below), whose sum is σ = 10020521601792. Its totient is φ = 1536370953216.

The previous prime is 4024135413439. The next prime is 4024135413481. The reversal of 4024135413440 is 443145314204.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4024135413440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2851727 + ... + 4022513.

Almost surely, 2^{4024135413440} is an apocalyptic number.

4024135413440 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 4024135413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5010260800896).

4024135413440 is an abundant number, since it is smaller than the sum of its proper divisors (5996386188352).

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

4024135413440 is a wasteful number, since it uses less digits than its factorization.

4024135413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171294 (or 1171284 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

The spelling of 4024135413440 in words is "four trillion, twenty-four billion, one hundred thirty-five million, four hundred thirteen thousand, four hundred forty".