400001244120 has 192 divisors, whose sum is σ = 1359759960000. Its totient is φ = 101786065920.

The previous prime is 400001244103. The next prime is 400001244127. The reversal of 400001244120 is 21442100004.

400001244120 is a `hidden beast` number, since 400 + 0 + 0 + 1 + 244 + 1 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 400001244093 and 400001244102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400001244127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3428506 + ... + 3543254.

It is an arithmetic number, because the mean of its divisors is an integer number (7082083125).

Almost surely, 2^400001244120 is an apocalyptic number.

400001244120 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 400001244120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679879980000).

400001244120 is an abundant number, since it is smaller than the sum of its proper divisors (959758715880).

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

400001244120 is a wasteful number, since it uses less digits than its factorization.

400001244120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115210 (or 115203 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 400001244120 its reverse (21442100004), we get a palindrome (421443344124).

The spelling of 400001244120 in words is "four hundred billion, one million, two hundred forty-four thousand, one hundred twenty".