1460042232000 has 448 divisors, whose sum is σ = 5536163842560. Its totient is φ = 335319552000.

The previous prime is 1460042231971. The next prime is 1460042232001. The reversal of 1460042232000 is 2322400641.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1460042232001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4870462 + ... + 5161538.

Almost surely, 2^{1460042232000} is an apocalyptic number.

1460042232000 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 1460042232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2768081921280).

1460042232000 is an abundant number, since it is smaller than the sum of its proper divisors (4076121610560).

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

1460042232000 is a wasteful number, since it uses less digits than its factorization.

1460042232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291137 (or 291117 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1460042232000 its reverse (2322400641), we get a palindrome (1462364632641).

The spelling of 1460042232000 in words is "one trillion, four hundred sixty billion, forty-two million, two hundred thirty-two thousand".