4002042040400 has 120 divisors (see below), whose sum is σ = 10157496768480. Its totient is φ = 1511087546880.

The previous prime is 4002042040387. The next prime is 4002042040499. The reversal of 4002042040400 is 40402402004.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1154687 + ... + 3055713.

It is an arithmetic number, because the mean of its divisors is an integer number (84645806404).

Almost surely, 2^{4002042040400} is an apocalyptic number.

4002042040400 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 4002042040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5078748384240).

4002042040400 is an abundant number, since it is smaller than the sum of its proper divisors (6155454728080).

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

4002042040400 is a wasteful number, since it uses less digits than its factorization.

4002042040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1901341 (or 1901330 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 4002042040400 its reverse (40402402004), we get a palindrome (4042444442404).

The spelling of 4002042040400 in words is "four trillion, two billion, forty-two million, forty thousand, four hundred".