1405034164000 has 96 divisors (see below), whose sum is σ = 3452540547456. Its totient is φ = 561953171200.

The previous prime is 1405034163971. The next prime is 1405034164019. The reversal of 1405034164000 is 4614305041.

It is a self number, because there is not a number n which added to its sum of digits gives 1405034164000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65697309 + ... + 65718691.

It is an arithmetic number, because the mean of its divisors is an integer number (35963964036).

Almost surely, 2^{1405034164000} is an apocalyptic number.

1405034164000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1405034164000 is an abundant number, since it is smaller than the sum of its proper divisors (2047506383456).

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

1405034164000 is a wasteful number, since it uses less digits than its factorization.

1405034164000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37835 (or 37817 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 1405034164000 its reverse (4614305041), we get a palindrome (1409648469041).

The spelling of 1405034164000 in words is "one trillion, four hundred five billion, thirty-four million, one hundred sixty-four thousand".