14496773040 has 320 divisors, whose sum is σ = 53790842880. Its totient is φ = 3578065920.

The previous prime is 14496773033. The next prime is 14496773041. The reversal of 14496773040 is 4037769441.

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

It is not an unprimeable number, because it can be changed into a prime (14496773041) 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, 1535374 + ... + 1544786.

It is an arithmetic number, because the mean of its divisors is an integer number (168096384).

Almost surely, 2^14496773040 is an apocalyptic number.

14496773040 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 14496773040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26895421440).

14496773040 is an abundant number, since it is smaller than the sum of its proper divisors (39294069840).

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

14496773040 is a wasteful number, since it uses less digits than its factorization.

14496773040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9489 (or 9477 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 14496773040 in words is "fourteen billion, four hundred ninety-six million, seven hundred seventy-three thousand, forty".