42111021144400 has 120 divisors (see below), whose sum is σ = 113691307040640. Its totient is φ = 14872654917120.

The previous prime is 42111021144343. The next prime is 42111021144419. The reversal of 42111021144400 is 444112011124.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 175929820 + ... + 176169019.

It is an arithmetic number, because the mean of its divisors is an integer number (947427558672).

Almost surely, 2^{42111021144400} is an apocalyptic number.

42111021144400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42111021144400 is an abundant number, since it is smaller than the sum of its proper divisors (71580285896240).

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

42111021144400 is a wasteful number, since it uses less digits than its factorization.

42111021144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352098893 (or 352098882 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

Adding to 42111021144400 its reverse (444112011124), we get a palindrome (42555133155524).

The spelling of 42111021144400 in words is "forty-two trillion, one hundred eleven billion, twenty-one million, one hundred forty-four thousand, four hundred".