400302434040 has 128 divisors (see below), whose sum is σ = 1267758432000. Its totient is φ = 100837398528.

The previous prime is 400302434039. The next prime is 400302434053. The reversal of 400302434040 is 40434203004.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 400302434040.

It is a congruent number.

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, 538176 + ... + 1044144.

It is an arithmetic number, because the mean of its divisors is an integer number (9904362750).

Almost surely, 2^400302434040 is an apocalyptic number.

400302434040 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 400302434040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633879216000).

400302434040 is an abundant number, since it is smaller than the sum of its proper divisors (867455997960).

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

400302434040 is a wasteful number, since it uses less digits than its factorization.

400302434040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506349 (or 506345 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 400302434040 its reverse (40434203004), we get a palindrome (440736637044).

The spelling of 400302434040 in words is "four hundred billion, three hundred two million, four hundred thirty-four thousand, forty".