1010414051440 has 40 divisors (see below), whose sum is σ = 2349265516848. Its totient is φ = 404156528640.

The previous prime is 1010414051351. The next prime is 1010414051467. The reversal of 1010414051440 is 441504140101.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 4298560 + ... + 4527520.

Almost surely, 2^{1010414051440} is an apocalyptic number.

1010414051440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010414051440 is an abundant number, since it is smaller than the sum of its proper divisors (1338851465408).

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

1010414051440 is a wasteful number, since it uses less digits than its factorization.

1010414051440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284137 (or 284131 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

Adding to 1010414051440 its reverse (441504140101), we get a palindrome (1451918191541).

The spelling of 1010414051440 in words is "one trillion, ten billion, four hundred fourteen million, fifty-one thousand, four hundred forty".