1453129843200 has 480 divisors, whose sum is σ = 5724633885696. Its totient is φ = 317701570560.

The previous prime is 1453129843181. The next prime is 1453129843219. The reversal of 1453129843200 is 23489213541.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1453129843181) and next prime (1453129843219).

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

It is a super-2 number, since 2×1453129843200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 6064879 + ... + 6299921.

Almost surely, 2^{1453129843200} is an apocalyptic number.

1453129843200 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 1453129843200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2862316942848).

1453129843200 is an abundant number, since it is smaller than the sum of its proper divisors (4271504042496).

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

1453129843200 is a wasteful number, since it uses less digits than its factorization.

1453129843200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235104 (or 235083 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 1453129843200 in words is "one trillion, four hundred fifty-three billion, one hundred twenty-nine million, eight hundred forty-three thousand, two hundred".