140013042102240 has 96 divisors (see below), whose sum is σ = 456249395861280. Its totient is φ = 36049334974464.

The previous prime is 140013042102233. The next prime is 140013042102253. The reversal of 140013042102240 is 42201240310041.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×140013042102240² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 140013042102240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5029190179 + ... + 5029218018.

It is an arithmetic number, because the mean of its divisors is an integer number (4752597873555).

Almost surely, 2^{140013042102240} is an apocalyptic number.

140013042102240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140013042102240 is an abundant number, since it is smaller than the sum of its proper divisors (316236353759040).

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

140013042102240 is a wasteful number, since it uses less digits than its factorization.

140013042102240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10058408244 (or 10058408236 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 140013042102240 its reverse (42201240310041), we get a palindrome (182214282412281).

The spelling of 140013042102240 in words is "one hundred forty trillion, thirteen billion, forty-two million, one hundred two thousand, two hundred forty".