1361201711400 has 120 divisors (see below), whose sum is σ = 4727655259470. Its totient is φ = 362987118720.

The previous prime is 1361201711399. The next prime is 1361201711407. The reversal of 1361201711400 is 41171021631.

1361201711400 is a `hidden beast` number, since 1 + 3 + 612 + 0 + 1 + 7 + 1 + 1 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1290491456004 + 70710255396 = 1135998^2 + 265914^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (1361201711407) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 41996199 + ... + 42028598.

Almost surely, 2^{1361201711400} is an apocalyptic number.

1361201711400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1361201711400 is an abundant number, since it is smaller than the sum of its proper divisors (3366453548070).

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

1361201711400 is a wasteful number, since it uses less digits than its factorization.

1361201711400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84024825 (or 84024807 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 1361201711400 in words is "one trillion, three hundred sixty-one billion, two hundred one million, seven hundred eleven thousand, four hundred".