400014120 has 128 divisors (see below), whose sum is σ = 1328970240. Its totient is φ = 95504640.

The previous prime is 400014119. The next prime is 400014169. The reversal of 400014120 is 21410004.

It is a super-3 number, since 3×400014120³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 400014096 and 400014105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86179 + ... + 90701.

It is an arithmetic number, because the mean of its divisors is an integer number (10382580).

Almost surely, 2^400014120 is an apocalyptic number.

400014120 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 400014120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664485120).

400014120 is an abundant number, since it is smaller than the sum of its proper divisors (928956120).

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

400014120 is a wasteful number, since it uses less digits than its factorization.

400014120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4615 (or 4611 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 400014120 is about 20000.3529968848. The cubic root of 400014120 is about 736.8149693802.

Adding to 400014120 its reverse (21410004), we get a palindrome (421424124).

The spelling of 400014120 in words is "four hundred million, fourteen thousand, one hundred twenty".