402105519360 has 432 divisors, whose sum is σ = 1418931088848. Its totient is φ = 105106636800.

The previous prime is 402105519337. The next prime is 402105519367. The reversal of 402105519360 is 63915501204.

402105519360 is a `hidden beast` number, since 4 + 0 + 2 + 10 + 551 + 93 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 30376306944 + 371729212416 = 174288^2 + 609696^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402105519367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 248059350 + ... + 248060970.

Almost surely, 2^402105519360 is an apocalyptic number.

402105519360 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 402105519360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709465544424).

402105519360 is an abundant number, since it is smaller than the sum of its proper divisors (1016825569488).

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

402105519360 is a wasteful number, since it uses less digits than its factorization.

402105519360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2062 (or 2045 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 402105519360 in words is "four hundred two billion, one hundred five million, five hundred nineteen thousand, three hundred sixty".