1405055605104 has 120 divisors (see below), whose sum is σ = 4164494182992. Its totient is φ = 440697600000.

The previous prime is 1405055605103. The next prime is 1405055605117. The reversal of 1405055605104 is 4015065505041.

1405055605104 is a `hidden beast` number, since 1 + 4 + 0 + 50 + 556 + 0 + 51 + 0 + 4 = 666.

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 (1405055605103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10639479 + ... + 10770729.

Almost surely, 2^{1405055605104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1405055605104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2082247091496).

1405055605104 is an abundant number, since it is smaller than the sum of its proper divisors (2759438577888).

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

1405055605104 is a wasteful number, since it uses less digits than its factorization.

1405055605104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135655 (or 135646 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

It can be divided in two parts, 140505 and 5605104, that added together give a square (5745609 = 2397²).

The spelling of 1405055605104 in words is "one trillion, four hundred five billion, fifty-five million, six hundred five thousand, one hundred four".