1465412160000 has 800 divisors, whose sum is σ = 5162860555776. Its totient is φ = 368640000000.

The previous prime is 1465412159971. The next prime is 1465412160053. The reversal of 1465412160000 is 612145641.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 1465412160000.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1220159400 + ... + 1220160600.

Almost surely, 2^{1465412160000} is an apocalyptic number.

1465412160000 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 1465412160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2581430277888).

1465412160000 is an abundant number, since it is smaller than the sum of its proper divisors (3697448395776).

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

1465412160000 is an equidigital number, since it uses as much as digits as its factorization.

1465412160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 1465412160000 in words is "one trillion, four hundred sixty-five billion, four hundred twelve million, one hundred sixty thousand".