402426947120 has 320 divisors, whose sum is σ = 1125596528640. Its totient is φ = 132077568000.

The previous prime is 402426947107. The next prime is 402426947129. The reversal of 402426947120 is 21749624204.

It is not an unprimeable number, because it can be changed into a prime (402426947129) 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 63 ways as a sum of consecutive naturals, for example, 65506769 + ... + 65512911.

It is an arithmetic number, because the mean of its divisors is an integer number (3517489152).

Almost surely, 2^402426947120 is an apocalyptic number.

402426947120 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 402426947120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562798264320).

402426947120 is an abundant number, since it is smaller than the sum of its proper divisors (723169581520).

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

402426947120 is a wasteful number, since it uses less digits than its factorization.

402426947120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6364 (or 6358 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 41.

The spelling of 402426947120 in words is "four hundred two billion, four hundred twenty-six million, nine hundred forty-seven thousand, one hundred twenty".