1451125670400 has 720 divisors, whose sum is σ = 6196014902880. Its totient is φ = 331681996800.

The previous prime is 1451125670389. The next prime is 1451125670413. The reversal of 1451125670400 is 40765211541.

1451125670400 is a `hidden beast` number, since 1 + 4 + 51 + 1 + 2 + 567 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×1451125670400³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16891555 + ... + 16977245.

It is an arithmetic number, because the mean of its divisors is an integer number (8605576254).

Almost surely, 2^{1451125670400} is an apocalyptic number.

1451125670400 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 1451125670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3098007451440).

1451125670400 is an abundant number, since it is smaller than the sum of its proper divisors (4744889232480).

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

1451125670400 is an equidigital number, since it uses as much as digits as its factorization.

1451125670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85742 (or 85708 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 1451125670400 in words is "one trillion, four hundred fifty-one billion, one hundred twenty-five million, six hundred seventy thousand, four hundred".