1454879975040 has 512 divisors, whose sum is σ = 5296360608000. Its totient is φ = 377216040960.

The previous prime is 1454879975039. The next prime is 1454879975071. The reversal of 1454879975040 is 405799784541.

1454879975040 is a `hidden beast` number, since 1 + 4 + 54 + 8 + 79 + 9 + 7 + 504 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 217500016 + ... + 217506704.

Almost surely, 2^{1454879975040} is an apocalyptic number.

1454879975040 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 1454879975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2648180304000).

1454879975040 is an abundant number, since it is smaller than the sum of its proper divisors (3841480632960).

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

1454879975040 is a wasteful number, since it uses less digits than its factorization.

1454879975040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7065 (or 7047 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 1454879975040 in words is "one trillion, four hundred fifty-four billion, eight hundred seventy-nine million, nine hundred seventy-five thousand, forty".