4042132413000 has 384 divisors, whose sum is σ = 13999551995520. Its totient is φ = 970200000000.

The previous prime is 4042132412951. The next prime is 4042132413037. The reversal of 4042132413000 is 3142312404.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36607875 + ... + 36718125.

It is an arithmetic number, because the mean of its divisors is an integer number (36457166655).

Almost surely, 2^{4042132413000} is an apocalyptic number.

4042132413000 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 4042132413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6999775997760).

4042132413000 is an abundant number, since it is smaller than the sum of its proper divisors (9957419582520).

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

4042132413000 is a wasteful number, since it uses less digits than its factorization.

4042132413000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110398 (or 110373 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 4042132413000 its reverse (3142312404), we get a palindrome (4045274725404).

The spelling of 4042132413000 in words is "four trillion, forty-two billion, one hundred thirty-two million, four hundred thirteen thousand".