1428454108800 has 1152 divisors, whose sum is σ = 5597256038400. Its totient is φ = 345528115200.

The previous prime is 1428454108787. The next prime is 1428454108817. The reversal of 1428454108800 is 88014548241.

1428454108800 is a `hidden beast` number, since 1 + 4 + 28 + 4 + 541 + 0 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×1428454108800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1815062007 + ... + 1815062793.

It is an arithmetic number, because the mean of its divisors is an integer number (4858729200).

Almost surely, 2^{1428454108800} is an apocalyptic number.

1428454108800 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 1428454108800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2798628019200).

1428454108800 is an abundant number, since it is smaller than the sum of its proper divisors (4168801929600).

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

1428454108800 is a wasteful number, since it uses less digits than its factorization.

1428454108800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The spelling of 1428454108800 in words is "one trillion, four hundred twenty-eight billion, four hundred fifty-four million, one hundred eight thousand, eight hundred".