1405384656960 has 224 divisors, whose sum is σ = 4572859536000. Its totient is φ = 365474037760.

The previous prime is 1405384656953. The next prime is 1405384657003. The reversal of 1405384656960 is 696564835041.

It is a self number, because there is not a number n which added to its sum of digits gives 1405384656960.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115672966 + ... + 115685114.

It is an arithmetic number, because the mean of its divisors is an integer number (20414551500).

Almost surely, 2^{1405384656960} is an apocalyptic number.

1405384656960 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 1405384656960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2286429768000).

1405384656960 is an abundant number, since it is smaller than the sum of its proper divisors (3167474879040).

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

1405384656960 is a wasteful number, since it uses less digits than its factorization.

1405384656960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15149 (or 15139 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 57.

The spelling of 1405384656960 in words is "one trillion, four hundred five billion, three hundred eighty-four million, six hundred fifty-six thousand, nine hundred sixty".