1007444433740 has 48 divisors (see below), whose sum is σ = 2184021874944. Its totient is φ = 389953075200.

The previous prime is 1007444433707. The next prime is 1007444433761. The reversal of 1007444433740 is 473344447001.

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 15 ways as a sum of consecutive naturals, for example, 11498900 + ... + 11586180.

It is an arithmetic number, because the mean of its divisors is an integer number (45500455728).

Almost surely, 2^{1007444433740} is an apocalyptic number.

1007444433740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1007444433740 is an abundant number, since it is smaller than the sum of its proper divisors (1176577441204).

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

1007444433740 is a wasteful number, since it uses less digits than its factorization.

1007444433740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105938 (or 105936 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 41.

The spelling of 1007444433740 in words is "one trillion, seven billion, four hundred forty-four million, four hundred thirty-three thousand, seven hundred forty".