403240000000 has 320 divisors, whose sum is σ = 1068153124896. Its totient is φ = 151552000000.

The previous prime is 403239999973. The next prime is 403240000003. The reversal of 403240000000 is 42304.

It can be written as a sum of positive squares in 16 ways, for example, as 399080265984 + 4159734016 = 631728^2 + 64496^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (403240000003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 679999704 + ... + 680000296.

Almost surely, 2^403240000000 is an apocalyptic number.

403240000000 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 403240000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534076562448).

403240000000 is an abundant number, since it is smaller than the sum of its proper divisors (664913124896).

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

403240000000 is an frugal number, since it uses more digits than its factorization.

403240000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

Adding to 403240000000 its reverse (42304), we get a palindrome (403240042304).

It can be divided in two parts, 40 and 3240000000, that multiplied together give a 4-th power (129600000000 = 600⁴).

The spelling of 403240000000 in words is "four hundred three billion, two hundred forty million", and thus it is an aban number.