400212101543120 has 20 divisors (see below), whose sum is σ = 930493136087940. Its totient is φ = 160084840617216.

The previous prime is 400212101543117. The next prime is 400212101543123. The reversal of 400212101543120 is 21345101212004.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (400212101543117) and next prime (400212101543123).

It can be written as a sum of positive squares in 2 ways, for example, as 225309466337344 + 174902635205776 = 15010312^2 + 13225076^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 400212101543120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400212101543123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2501325634565 + ... + 2501325634724.

It is an arithmetic number, because the mean of its divisors is an integer number (46524656804397).

Almost surely, 2^{400212101543120} is an apocalyptic number.

400212101543120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400212101543120 is an abundant number, since it is smaller than the sum of its proper divisors (530281034544820).

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

400212101543120 is a wasteful number, since it uses less digits than its factorization.

400212101543120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5002651269302 (or 5002651269296 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 400212101543120 its reverse (21345101212004), we get a palindrome (421557202755124).

The spelling of 400212101543120 in words is "four hundred trillion, two hundred twelve billion, one hundred one million, five hundred forty-three thousand, one hundred twenty".