1342181606400 has 396 divisors, whose sum is σ = 5088344980212. Its totient is φ = 336860282880.

The previous prime is 1342181606399. The next prime is 1342181606489. The reversal of 1342181606400 is 46061812431.

1342181606400 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 1 + 8 + 1 + 6 + 0 + 640 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5549654016 + 1336631952384 = 74496^2 + 1156128^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3745464 + ... + 4088136.

Almost surely, 2^{1342181606400} is an apocalyptic number.

1342181606400 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 1342181606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2544172490106).

1342181606400 is an abundant number, since it is smaller than the sum of its proper divisors (3746163373812).

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

1342181606400 is a wasteful number, since it uses less digits than its factorization.

1342181606400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342726 (or 342700 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 1342181606400 in words is "one trillion, three hundred forty-two billion, one hundred eighty-one million, six hundred six thousand, four hundred".