402545661327360 has 1536 divisors, whose sum is σ = 1483367637024000. Its totient is φ = 104789405859840.

The previous prime is 402545661327247. The next prime is 402545661327391. The reversal of 402545661327360 is 63723166545204.

402545661327360 is a `hidden beast` number, since 4 + 0 + 2 + 5 + 4 + 566 + 1 + 3 + 2 + 73 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 402545661327297 and 402545661327306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 271806657820 + ... + 271806659300.

Almost surely, 2^{402545661327360} is an apocalyptic number.

402545661327360 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 402545661327360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741683818512000).

402545661327360 is an abundant number, since it is smaller than the sum of its proper divisors (1080821975696640).

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

402545661327360 is an equidigital number, since it uses as much as digits as its factorization.

402545661327360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1811 (or 1773 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 54.

The spelling of 402545661327360 in words is "four hundred two trillion, five hundred forty-five billion, six hundred sixty-one million, three hundred twenty-seven thousand, three hundred sixty".