1007011462820 has 48 divisors (see below), whose sum is σ = 2308915844928. Its totient is φ = 365877394560.

The previous prime is 1007011462813. The next prime is 1007011462843. The reversal of 1007011462820 is 282641107001.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1666967 + ... + 2189246.

It is an arithmetic number, because the mean of its divisors is an integer number (48102413436).

Almost surely, 2^{1007011462820} is an apocalyptic number.

1007011462820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1007011462820 is an abundant number, since it is smaller than the sum of its proper divisors (1301904382108).

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

1007011462820 is a wasteful number, since it uses less digits than its factorization.

1007011462820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3857420 (or 3857418 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

Adding to 1007011462820 its reverse (282641107001), we get a palindrome (1289652569821).

The spelling of 1007011462820 in words is "one trillion, seven billion, eleven million, four hundred sixty-two thousand, eight hundred twenty".