1450891346400 has 216 divisors, whose sum is σ = 5134419907344. Its totient is φ = 385526937600.

The previous prime is 1450891346323. The next prime is 1450891346431. The reversal of 1450891346400 is 46431980541.

1450891346400 is a `hidden beast` number, since 1 + 4 + 508 + 9 + 134 + 6 + 4 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1664637 + ... + 2381763.

It is an arithmetic number, because the mean of its divisors is an integer number (23770462534).

Almost surely, 2^{1450891346400} is an apocalyptic number.

1450891346400 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 1450891346400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2567209953672).

1450891346400 is an abundant number, since it is smaller than the sum of its proper divisors (3683528560944).

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

1450891346400 is a wasteful number, since it uses less digits than its factorization.

1450891346400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717434 (or 717418 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 1450891346400 in words is "one trillion, four hundred fifty billion, eight hundred ninety-one million, three hundred forty-six thousand, four hundred".