1405887780000 has 240 divisors, whose sum is σ = 5030831193696. Its totient is φ = 340821120000.

The previous prime is 1405887779953. The next prime is 1405887780013. The reversal of 1405887780000 is 877885041.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 405067 + ... + 1725066.

Almost surely, 2^{1405887780000} is an apocalyptic number.

1405887780000 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 1405887780000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2515415596848).

1405887780000 is an abundant number, since it is smaller than the sum of its proper divisors (3624943413696).

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

1405887780000 is a wasteful number, since it uses less digits than its factorization.

1405887780000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130177 (or 2130154 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 48.

The spelling of 1405887780000 in words is "one trillion, four hundred five billion, eight hundred eighty-seven million, seven hundred eighty thousand".