400433211024 has 160 divisors (see below), whose sum is σ = 1290071715840. Its totient is φ = 103979212800.

The previous prime is 400433210981. The next prime is 400433211071. The reversal of 400433211024 is 420112334004.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 400433210985 and 400433211003.

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, 15062704 + ... + 15089264.

It is an arithmetic number, because the mean of its divisors is an integer number (8062948224).

Almost surely, 2^400433211024 is an apocalyptic number.

400433211024 is a gapful number since it is divisible by the number (44) 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 400433211024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645035857920).

400433211024 is an abundant number, since it is smaller than the sum of its proper divisors (889638504816).

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

400433211024 is a wasteful number, since it uses less digits than its factorization.

400433211024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30669 (or 30663 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 400433211024 its reverse (420112334004), we get a palindrome (820545545028).

The spelling of 400433211024 in words is "four hundred billion, four hundred thirty-three million, two hundred eleven thousand, twenty-four".