1007997454800 has 180 divisors, whose sum is σ = 3997750005600. Its totient is φ = 230399412480.

The previous prime is 1007997454781. The next prime is 1007997454813. The reversal of 1007997454800 is 84547997001.

1007997454800 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 9 + 97 + 4 + 548 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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, 19974750 + ... + 20025149.

Almost surely, 2^{1007997454800} is an apocalyptic number.

1007997454800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1007997454800 is an abundant number, since it is smaller than the sum of its proper divisors (2989752550800).

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

1007997454800 is a wasteful number, since it uses less digits than its factorization.

1007997454800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39999930 (or 39999916 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 1007997454800 in words is "one trillion, seven billion, nine hundred ninety-seven million, four hundred fifty-four thousand, eight hundred".