1007777424420 has 144 divisors (see below), whose sum is σ = 3362117391360. Its totient is φ = 242790213888.

The previous prime is 1007777424413. The next prime is 1007777424443. The reversal of 1007777424420 is 244247777001.

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

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 47 ways as a sum of consecutive naturals, for example, 4471660 + ... + 4691619.

It is an arithmetic number, because the mean of its divisors is an integer number (23348037440).

Almost surely, 2^{1007777424420} is an apocalyptic number.

1007777424420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1007777424420 is an abundant number, since it is smaller than the sum of its proper divisors (2354339966940).

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

1007777424420 is a wasteful number, since it uses less digits than its factorization.

1007777424420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9163354 (or 9163349 counting only the distinct ones).

The product of its (nonzero) digits is 614656, while the sum is 45.

The spelling of 1007777424420 in words is "one trillion, seven billion, seven hundred seventy-seven million, four hundred twenty-four thousand, four hundred twenty".