13909207037440 has 640 divisors, whose sum is σ = 39844949760000. Its totient is φ = 4590134231040.

The previous prime is 13909207037423. The next prime is 13909207037513. The reversal of 13909207037440 is 4473070290931.

It is a tau number, because it is divible by the number of its divisors (640).

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 63 ways as a sum of consecutive naturals, for example, 6958081561 + ... + 6958083559.

It is an arithmetic number, because the mean of its divisors is an integer number (62257734000).

Almost surely, 2^{13909207037440} is an apocalyptic number.

13909207037440 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 13909207037440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19922474880000).

13909207037440 is an abundant number, since it is smaller than the sum of its proper divisors (25935742722560).

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

13909207037440 is a wasteful number, since it uses less digits than its factorization.

13909207037440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2358 (or 2342 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 49.

The spelling of 13909207037440 in words is "thirteen trillion, nine hundred nine billion, two hundred seven million, thirty-seven thousand, four hundred forty".