14828940540 has 240 divisors, whose sum is σ = 49403626272. Its totient is φ = 3710582784.

The previous prime is 14828940491. The next prime is 14828940563. The reversal of 14828940540 is 4504982841.

14828940540 is a `hidden beast` number, since 1 + 48 + 28 + 9 + 40 + 540 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12860604 + ... + 12861756.

Almost surely, 2^14828940540 is an apocalyptic number.

14828940540 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 14828940540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24701813136).

14828940540 is an abundant number, since it is smaller than the sum of its proper divisors (34574685732).

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

14828940540 is a wasteful number, since it uses less digits than its factorization.

14828940540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 14828940540 in words is "fourteen billion, eight hundred twenty-eight million, nine hundred forty thousand, five hundred forty".