1453109414400 has 1200 divisors, whose sum is σ = 6174755522496. Its totient is φ = 330608148480.

The previous prime is 1453109414377. The next prime is 1453109414411. The reversal of 1453109414400 is 44149013541.

1453109414400 is a `hidden beast` number, since 145 + 3 + 10 + 94 + 14 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×1453109414400² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2518386912 + ... + 2518387488.

Almost surely, 2^{1453109414400} is an apocalyptic number.

1453109414400 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 1453109414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3087377761248).

1453109414400 is an abundant number, since it is smaller than the sum of its proper divisors (4721646108096).

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

1453109414400 is an equidigital number, since it uses as much as digits as its factorization.

1453109414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 1453109414400 in words is "one trillion, four hundred fifty-three billion, one hundred nine million, four hundred fourteen thousand, four hundred".