1452028032000 has 3168 divisors, whose sum is σ = 7039303514880. Its totient is φ = 290237644800.

The previous prime is 1452028031953. The next prime is 1452028032011. The reversal of 1452028032000 is 2308202541.

1452028032000 is a `hidden beast` number, since 1 + 45 + 20 + 280 + 320 + 0 + 0 = 666.

It is a super-4 number, since 4×1452028032000⁴ (a number of 50 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 76422527991 + ... + 76422528009.

Almost surely, 2^{1452028032000} is an apocalyptic number.

1452028032000 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 1452028032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3519651757440).

1452028032000 is an abundant number, since it is smaller than the sum of its proper divisors (5587275482880).

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

1452028032000 is an frugal number, since it uses more digits than its factorization.

1452028032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 1452028032000 in words is "one trillion, four hundred fifty-two billion, twenty-eight million, thirty-two thousand".