1465143114240 has 480 divisors, whose sum is σ = 5591657111040. Its totient is φ = 352260292608.

The previous prime is 1465143114209. The next prime is 1465143114271. The reversal of 1465143114240 is 424113415641.

1465143114240 is a `hidden beast` number, since 1 + 4 + 6 + 514 + 3 + 114 + 24 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1465143114209) and next prime (1465143114271).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1465143114195 and 1465143114204.

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, 12822481 + ... + 12936239.

It is an arithmetic number, because the mean of its divisors is an integer number (11649285648).

Almost surely, 2^{1465143114240} is an apocalyptic number.

1465143114240 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 1465143114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2795828555520).

1465143114240 is an abundant number, since it is smaller than the sum of its proper divisors (4126513996800).

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

1465143114240 is a wasteful number, since it uses less digits than its factorization.

1465143114240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113844 (or 113825 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 1465143114240 its reverse (424113415641), we get a palindrome (1889256529881).

The spelling of 1465143114240 in words is "one trillion, four hundred sixty-five billion, one hundred forty-three million, one hundred fourteen thousand, two hundred forty".