400211040 has 96 divisors (see below), whose sum is σ = 1315512576. Its totient is φ = 102080000.

The previous prime is 400211027. The next prime is 400211069. The reversal of 400211040 is 40112004.

400211040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7086 + ... + 29165.

It is an arithmetic number, because the mean of its divisors is an integer number (13703256).

Almost surely, 2^400211040 is an apocalyptic number.

400211040 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 400211040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657756288).

400211040 is an abundant number, since it is smaller than the sum of its proper divisors (915301536).

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

400211040 is a wasteful number, since it uses less digits than its factorization.

400211040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36292 (or 36284 counting only the distinct ones).

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

The square root of 400211040 is about 20005.2753042791. The cubic root of 400211040 is about 736.9358566139.

Adding to 400211040 its reverse (40112004), we get a palindrome (440323044).

The spelling of 400211040 in words is "four hundred million, two hundred eleven thousand, forty".