403200749952 has 768 divisors, whose sum is σ = 1564152145920. Its totient is φ = 96279183360.

The previous prime is 403200749921. The next prime is 403200749971. The reversal of 403200749952 is 259947002304.

It is a junction number, because it is equal to n+sod(n) for n = 403200749898 and 403200749907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 365548633 + ... + 365549735.

It is an arithmetic number, because the mean of its divisors is an integer number (2036656440).

Almost surely, 2^403200749952 is an apocalyptic number.

403200749952 is a gapful number since it is divisible by the number (42) 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 403200749952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782076072960).

403200749952 is an abundant number, since it is smaller than the sum of its proper divisors (1160951395968).

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

403200749952 is a wasteful number, since it uses less digits than its factorization.

403200749952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 403200749952 in words is "four hundred three billion, two hundred million, seven hundred forty-nine thousand, nine hundred fifty-two".