402020040320 has 128 divisors (see below), whose sum is σ = 975090493440. Its totient is φ = 158467497984.

The previous prime is 402020040311. The next prime is 402020040343. The reversal of 402020040320 is 23040020204.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×402020040320² (a number of 24 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 66479537 + ... + 66485583.

It is an arithmetic number, because the mean of its divisors is an integer number (7617894480).

Almost surely, 2^402020040320 is an apocalyptic number.

402020040320 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 402020040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487545246720).

402020040320 is an abundant number, since it is smaller than the sum of its proper divisors (573070453120).

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

402020040320 is a wasteful number, since it uses less digits than its factorization.

402020040320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7562 (or 7550 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

Adding to 402020040320 its reverse (23040020204), we get a palindrome (425060060524).

The spelling of 402020040320 in words is "four hundred two billion, twenty million, forty thousand, three hundred twenty".