1362307418820 has 144 divisors (see below), whose sum is σ = 4312531746432. Its totient is φ = 347444190720.

The previous prime is 1362307418803. The next prime is 1362307418827. The reversal of 1362307418820 is 288147032631.

1362307418820 is a `hidden beast` number, since 1 + 3 + 623 + 0 + 7 + 4 + 18 + 8 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1362307418827) 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, 46191799 + ... + 46221281.

It is an arithmetic number, because the mean of its divisors is an integer number (29948137128).

Almost surely, 2^{1362307418820} is an apocalyptic number.

1362307418820 is a gapful number since it is divisible by the number (10) 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 1362307418820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2156265873216).

1362307418820 is an abundant number, since it is smaller than the sum of its proper divisors (2950224327612).

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

1362307418820 is a wasteful number, since it uses less digits than its factorization.

1362307418820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40682 (or 40677 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 1362307418820 in words is "one trillion, three hundred sixty-two billion, three hundred seven million, four hundred eighteen thousand, eight hundred twenty".