403196713920 has 2688 divisors, whose sum is σ = 2080126863360. Its totient is φ = 68797071360.

The previous prime is 403196713883. The next prime is 403196713921. The reversal of 403196713920 is 29317691304.

403196713920 is a `hidden beast` number, since 4 + 0 + 3 + 196 + 71 + 392 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (403196713921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 931170024 + ... + 931170456.

It is an arithmetic number, because the mean of its divisors is an integer number (773856720).

Almost surely, 2^403196713920 is an apocalyptic number.

403196713920 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 403196713920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040063431680).

403196713920 is an abundant number, since it is smaller than the sum of its proper divisors (1676930149440).

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

403196713920 is a wasteful number, since it uses less digits than its factorization.

403196713920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 403196713920 in words is "four hundred three billion, one hundred ninety-six million, seven hundred thirteen thousand, nine hundred twenty".