1254445390044 has 864 divisors, whose sum is σ = 4302169417728. Its totient is φ = 310456022400.

The previous prime is 1254445390031. The next prime is 1254445390061. The reversal of 1254445390044 is 4400935444521.

1254445390044 is a `hidden beast` number, since 1 + 254 + 4 + 4 + 5 + 390 + 0 + 4 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7695983907 + ... + 7695984069.

It is an arithmetic number, because the mean of its divisors is an integer number (4979362752).

Almost surely, 2^{1254445390044} is an apocalyptic number.

1254445390044 is a gapful number since it is divisible by the number (14) 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 1254445390044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2151084708864).

1254445390044 is an abundant number, since it is smaller than the sum of its proper divisors (3047724027684).

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

1254445390044 is a wasteful number, since it uses less digits than its factorization.

1254445390044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 1254445390044 in words is "one trillion, two hundred fifty-four billion, four hundred forty-five million, three hundred ninety thousand, forty-four".