13977949440 has 864 divisors, whose sum is σ = 58818928896. Its totient is φ = 2760376320.

The previous prime is 13977949421. The next prime is 13977949463. The reversal of 13977949440 is 4494977931.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77226150 + ... + 77226330.

It is an arithmetic number, because the mean of its divisors is an integer number (68077464).

Almost surely, 2^13977949440 is an apocalyptic number.

13977949440 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 13977949440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29409464448).

13977949440 is an abundant number, since it is smaller than the sum of its proper divisors (44840979456).

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

13977949440 is a wasteful number, since it uses less digits than its factorization.

13977949440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 57.

The spelling of 13977949440 in words is "thirteen billion, nine hundred seventy-seven million, nine hundred forty-nine thousand, four hundred forty".