13749772861440 has 2400 divisors, whose sum is σ = 65113676457984. Its totient is φ = 2687332515840.

The previous prime is 13749772861421. The next prime is 13749772861477. The reversal of 13749772861440 is 4416827794731.

It is a happy number.

13749772861440 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 9 + 7 + 7 + 2 + 8 + 614 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8685894889 + ... + 8685896471.

Almost surely, 2^{13749772861440} is an apocalyptic number.

13749772861440 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 13749772861440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32556838228992).

13749772861440 is an abundant number, since it is smaller than the sum of its proper divisors (51363903596544).

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

13749772861440 is a wasteful number, since it uses less digits than its factorization.

13749772861440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1663 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 13749772861440 in words is "thirteen trillion, seven hundred forty-nine billion, seven hundred seventy-two million, eight hundred sixty-one thousand, four hundred forty".