403200402000 has 320 divisors, whose sum is σ = 1419809983488. Its totient is φ = 97627200000.

The previous prime is 403200401987. The next prime is 403200402047. The reversal of 403200402000 is 204002304.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 62498775 + ... + 62505225.

Almost surely, 2^403200402000 is an apocalyptic number.

403200402000 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 403200402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709904991744).

403200402000 is an abundant number, since it is smaller than the sum of its proper divisors (1016609581488).

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

403200402000 is a wasteful number, since it uses less digits than its factorization.

403200402000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7435 (or 7419 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

Adding to 403200402000 its reverse (204002304), we get a palindrome (403404404304).

The spelling of 403200402000 in words is "four hundred three billion, two hundred million, four hundred two thousand".