14882797440 has 1024 divisors, whose sum is σ = 64235520000. Its totient is φ = 3292047360.

The previous prime is 14882797429. The next prime is 14882797483. The reversal of 14882797440 is 4479728841.

14882797440 is a `hidden beast` number, since 14 + 88 + 27 + 97 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 480090225 + ... + 480090255.

It is an arithmetic number, because the mean of its divisors is an integer number (62730000).

Almost surely, 2^14882797440 is an apocalyptic number.

14882797440 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 14882797440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32117760000).

14882797440 is an abundant number, since it is smaller than the sum of its proper divisors (49352722560).

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

14882797440 is an frugal number, since it uses more digits than its factorization.

14882797440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 14882797440 in words is "fourteen billion, eight hundred eighty-two million, seven hundred ninety-seven thousand, four hundred forty".