402252419520 has 448 divisors, whose sum is σ = 1638522869760. Its totient is φ = 90994212864.

The previous prime is 402252419509. The next prime is 402252419537. The reversal of 402252419520 is 25914252204.

402252419520 is a `hidden beast` number, since 4 + 0 + 22 + 524 + 1 + 95 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5832277 + ... + 5900843.

It is an arithmetic number, because the mean of its divisors is an integer number (3657417120).

Almost surely, 2^402252419520 is an apocalyptic number.

402252419520 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 402252419520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819261434880).

402252419520 is an abundant number, since it is smaller than the sum of its proper divisors (1236270450240).

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

402252419520 is a wasteful number, since it uses less digits than its factorization.

402252419520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68697 (or 68681 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 402252419520 in words is "four hundred two billion, two hundred fifty-two million, four hundred nineteen thousand, five hundred twenty".