400233011004 has 192 divisors, whose sum is σ = 1124507328000. Its totient is φ = 124244134848.

The previous prime is 400233010999. The next prime is 400233011027. The reversal of 400233011004 is 400110332004.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9786102 + ... + 9826914.

It is an arithmetic number, because the mean of its divisors is an integer number (5856809000).

Almost surely, 2^400233011004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400233011004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562253664000).

400233011004 is an abundant number, since it is smaller than the sum of its proper divisors (724274316996).

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

400233011004 is a wasteful number, since it uses less digits than its factorization.

400233011004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40916 (or 40896 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 400233011004 its reverse (400110332004), we get a palindrome (800343343008).

The spelling of 400233011004 in words is "four hundred billion, two hundred thirty-three million, eleven thousand, four".