127743903840 has 384 divisors, whose sum is σ = 485873095680. Its totient is φ = 27559526400.

The previous prime is 127743903809. The next prime is 127743903841. The reversal of 127743903840 is 48309347721.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 127743903840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127743903841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17935480 + ... + 17942600.

It is an arithmetic number, because the mean of its divisors is an integer number (1265294520).

Almost surely, 2^127743903840 is an apocalyptic number.

127743903840 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 127743903840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242936547840).

127743903840 is an abundant number, since it is smaller than the sum of its proper divisors (358129191840).

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

127743903840 is a wasteful number, since it uses less digits than its factorization.

127743903840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7446 (or 7438 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 127743903840 in words is "one hundred twenty-seven billion, seven hundred forty-three million, nine hundred three thousand, eight hundred forty".