403401431040 has 192 divisors, whose sum is σ = 1302420319200. Its totient is φ = 106585915392.

The previous prime is 403401431039. The next prime is 403401431053. The reversal of 403401431040 is 40134104304.

It is a tau number, because it is divible by the number of its divisors (192).

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 403401431040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3288244 + ... + 3408716.

Almost surely, 2^403401431040 is an apocalyptic number.

403401431040 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 403401431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651210159600).

403401431040 is an abundant number, since it is smaller than the sum of its proper divisors (899018888160).

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

403401431040 is a wasteful number, since it uses less digits than its factorization.

403401431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120612 (or 120592 counting only the distinct ones).

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

Adding to 403401431040 its reverse (40134104304), we get a palindrome (443535535344).

The spelling of 403401431040 in words is "four hundred three billion, four hundred one million, four hundred thirty-one thousand, forty".