1405180742400 has 432 divisors, whose sum is σ = 5216319641120. Its totient is φ = 374711132160.

The previous prime is 1405180742377. The next prime is 1405180742467. The reversal of 1405180742400 is 42470815041.

It is a happy number.

1405180742400 is a `hidden beast` number, since 1 + 4 + 0 + 5 + 180 + 74 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 47 ways as a sum of consecutive naturals, for example, 13946604 + ... + 14046996.

Almost surely, 2^{1405180742400} is an apocalyptic number.

1405180742400 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 1405180742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2608159820560).

1405180742400 is an abundant number, since it is smaller than the sum of its proper divisors (3811138898720).

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

1405180742400 is an frugal number, since it uses more digits than its factorization.

1405180742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100440 (or 100403 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 1405180742400 in words is "one trillion, four hundred five billion, one hundred eighty million, seven hundred forty-two thousand, four hundred".