1013854940640 has 288 divisors, whose sum is σ = 3667170386880. Its totient is φ = 254188634112.

The previous prime is 1013854940611. The next prime is 1013854940677. The reversal of 1013854940640 is 460494583101.

1013854940640 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 8 + 549 + 40 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23650746 + ... + 23693574.

It is an arithmetic number, because the mean of its divisors is an integer number (12733230510).

Almost surely, 2^{1013854940640} is an apocalyptic number.

1013854940640 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 1013854940640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1833585193440).

1013854940640 is an abundant number, since it is smaller than the sum of its proper divisors (2653315446240).

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

1013854940640 is a wasteful number, since it uses less digits than its factorization.

1013854940640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43834 (or 43823 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 1013854940640 in words is "one trillion, thirteen billion, eight hundred fifty-four million, nine hundred forty thousand, six hundred forty".