14820127740 has 576 divisors, whose sum is σ = 56269624320. Its totient is φ = 3229839360.

The previous prime is 14820127681. The next prime is 14820127753. The reversal of 14820127740 is 4772102841.

14820127740 is a `hidden beast` number, since 148 + 201 + 277 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14820127695 and 14820127704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20902506 + ... + 20903214.

It is an arithmetic number, because the mean of its divisors is an integer number (97690320).

Almost surely, 2^14820127740 is an apocalyptic number.

14820127740 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 14820127740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28134812160).

14820127740 is an abundant number, since it is smaller than the sum of its proper divisors (41449496580).

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

14820127740 is a wasteful number, since it uses less digits than its factorization.

14820127740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The spelling of 14820127740 in words is "fourteen billion, eight hundred twenty million, one hundred twenty-seven thousand, seven hundred forty".