400112203524000 has 768 divisors, whose sum is σ = 1520075873691648. Its totient is φ = 90927360000000.

The previous prime is 400112203523969. The next prime is 400112203524031. The reversal of 400112203524000 is 425302211004.

It is an interprime number because it is at equal distance from previous prime (400112203523969) and next prime (400112203524031).

It is a super-3 number, since 3×400112203524000³ (a number of 45 digits) contains 333 as substring.

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 127 ways as a sum of consecutive naturals, for example, 562888815 + ... + 563599185.

It is an arithmetic number, because the mean of its divisors is an integer number (1979265460536).

Almost surely, 2^{400112203524000} is an apocalyptic number.

400112203524000 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 400112203524000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760037936845824).

400112203524000 is an abundant number, since it is smaller than the sum of its proper divisors (1119963670167648).

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

400112203524000 is a wasteful number, since it uses less digits than its factorization.

400112203524000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710678 (or 710660 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 400112203524000 its reverse (425302211004), we get a palindrome (400537505735004).

The spelling of 400112203524000 in words is "four hundred trillion, one hundred twelve billion, two hundred three million, five hundred twenty-four thousand".