403140041304 has 512 divisors, whose sum is σ = 1413509529600. Its totient is φ = 92438599680.

The previous prime is 403140041299. The next prime is 403140041323.

403140041304 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 52440549 + ... + 52448235.

It is an arithmetic number, because the mean of its divisors is an integer number (2760760800).

Almost surely, 2^403140041304 is an apocalyptic number.

403140041304 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 403140041304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706754764800).

403140041304 is an abundant number, since it is smaller than the sum of its proper divisors (1010369488296).

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

403140041304 is a wasteful number, since it uses less digits than its factorization.

403140041304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7823 (or 7819 counting only the distinct ones).

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

It can be divided in two parts, 4031400 and 41304, that added together give a palindrome (4072704).

The spelling of 403140041304 in words is "four hundred three billion, one hundred forty million, forty-one thousand, three hundred four".