1014018704640 has 504 divisors, whose sum is σ = 3649040763648. Its totient is φ = 269858304000.

The previous prime is 1014018704639. The next prime is 1014018704653. The reversal of 1014018704640 is 464078104101.

1014018704640 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 0 + 1 + 8 + 7 + 0 + 4 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1014018704595 and 1014018704604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 700772397 + ... + 700773843.

Almost surely, 2^{1014018704640} is an apocalyptic number.

1014018704640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1014018704640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824520381824).

1014018704640 is an abundant number, since it is smaller than the sum of its proper divisors (2635022059008).

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

1014018704640 is an frugal number, since it uses more digits than its factorization.

1014018704640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2237 (or 2208 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 1014018704640 in words is "one trillion, fourteen billion, eighteen million, seven hundred four thousand, six hundred forty".