400144121111000 has 256 divisors, whose sum is σ = 1074621062661120. Its totient is φ = 136613258880000.

The previous prime is 400144121110999. The next prime is 400144121111027. The reversal of 400144121111000 is 111121441004.

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 63 ways as a sum of consecutive naturals, for example, 2995674215 + ... + 2995807785.

It is an arithmetic number, because the mean of its divisors is an integer number (4197738526020).

Almost surely, 2^{400144121111000} is an apocalyptic number.

400144121111000 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 400144121111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537310531330560).

400144121111000 is an abundant number, since it is smaller than the sum of its proper divisors (674476941550120).

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

400144121111000 is a wasteful number, since it uses less digits than its factorization.

400144121111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135403 (or 135389 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 400144121111000 its reverse (111121441004), we get a palindrome (400255242552004).

The spelling of 400144121111000 in words is "four hundred trillion, one hundred forty-four billion, one hundred twenty-one million, one hundred eleven thousand".