400112130600 has 576 divisors, whose sum is σ = 1705548873600. Its totient is φ = 84417914880.

The previous prime is 400112130541. The next prime is 400112130601. The reversal of 400112130600 is 6031211004.

It is a happy number.

400112130600 is a `hidden beast` number, since 4 + 0 + 0 + 11 + 21 + 30 + 600 = 666.

It is a super-3 number, since 3×400112130600³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (400112130601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6356884 + ... + 6419516.

It is an arithmetic number, because the mean of its divisors is an integer number (2961022350).

Almost surely, 2^400112130600 is an apocalyptic number.

400112130600 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 400112130600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852774436800).

400112130600 is an abundant number, since it is smaller than the sum of its proper divisors (1305436743000).

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

400112130600 is a wasteful number, since it uses less digits than its factorization.

400112130600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62691 (or 62663 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 400112130600 its reverse (6031211004), we get a palindrome (406143341604).

The spelling of 400112130600 in words is "four hundred billion, one hundred twelve million, one hundred thirty thousand, six hundred".