4042122401000 has 64 divisors (see below), whose sum is σ = 9458919035280. Its totient is φ = 1616788684800.

The previous prime is 4042122400951. The next prime is 4042122401027. The reversal of 4042122401000 is 1042212404.

It can be written as a sum of positive squares in 8 ways, for example, as 14932351204 + 4027190049796 = 122198^2 + 2006786^2 .

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

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, 34855112 + ... + 34970888.

Almost surely, 2^{4042122401000} is an apocalyptic number.

4042122401000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4042122401000 is an abundant number, since it is smaller than the sum of its proper divisors (5416796634280).

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

4042122401000 is a wasteful number, since it uses less digits than its factorization.

4042122401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150711 (or 150697 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 4042122401000 its reverse (1042212404), we get a palindrome (4043164613404).

The spelling of 4042122401000 in words is "four trillion, forty-two billion, one hundred twenty-two million, four hundred one thousand".