4042400231040 has 128 divisors (see below), whose sum is σ = 12887518374720. Its totient is φ = 1077775319040.

The previous prime is 4042400231039. The next prime is 4042400231053. The reversal of 4042400231040 is 401320042404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4042400231040.

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, 10409647 + ... + 10790993.

Almost surely, 2^{4042400231040} is an apocalyptic number.

4042400231040 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 4042400231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6443759187360).

4042400231040 is an abundant number, since it is smaller than the sum of its proper divisors (8845118143680).

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

4042400231040 is a wasteful number, since it uses less digits than its factorization.

4042400231040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386890 (or 386878 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 4042400231040 its reverse (401320042404), we get a palindrome (4443720273444).

The spelling of 4042400231040 in words is "four trillion, forty-two billion, four hundred million, two hundred thirty-one thousand, forty".