1432493765120 has 320 divisors, whose sum is σ = 3878126284032. Its totient is φ = 502923264000.

The previous prime is 1432493765093. The next prime is 1432493765123. The reversal of 1432493765120 is 215673942341.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×1432493765120² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1432493765123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111985925 + ... + 111998715.

Almost surely, 2^{1432493765120} is an apocalyptic number.

1432493765120 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 1432493765120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1939063142016).

1432493765120 is an abundant number, since it is smaller than the sum of its proper divisors (2445632518912).

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

1432493765120 is a wasteful number, since it uses less digits than its factorization.

1432493765120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12963 (or 12947 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 47.

The spelling of 1432493765120 in words is "one trillion, four hundred thirty-two billion, four hundred ninety-three million, seven hundred sixty-five thousand, one hundred twenty".