402152325120 has 1792 divisors, whose sum is σ = 1829137423680. Its totient is φ = 82556485632.

The previous prime is 402152325109. The next prime is 402152325121. The reversal of 402152325120 is 21523251204.

402152325120 is a `hidden beast` number, since 4 + 0 + 215 + 2 + 325 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402152325121) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 10868981742 + ... + 10868981778.

Almost surely, 2^402152325120 is an apocalyptic number.

402152325120 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 402152325120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914568711840).

402152325120 is an abundant number, since it is smaller than the sum of its proper divisors (1426985098560).

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

402152325120 is an frugal number, since it uses more digits than its factorization.

402152325120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 402152325120 its reverse (21523251204), we get a palindrome (423675576324).

The spelling of 402152325120 in words is "four hundred two billion, one hundred fifty-two million, three hundred twenty-five thousand, one hundred twenty".