14229272903040 has 2560 divisors, whose sum is σ = 61581643200000. Its totient is φ = 3093001666560.

The previous prime is 14229272903017. The next prime is 14229272903117. The reversal of 14229272903040 is 4030927292241.

14229272903040 is a `hidden beast` number, since 1 + 4 + 2 + 292 + 7 + 290 + 30 + 40 = 666.

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 319 ways as a sum of consecutive naturals, for example, 28515576711 + ... + 28515577209.

It is an arithmetic number, because the mean of its divisors is an integer number (24055329375).

Almost surely, 2^{14229272903040} is an apocalyptic number.

14229272903040 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 14229272903040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30790821600000).

14229272903040 is an abundant number, since it is smaller than the sum of its proper divisors (47352370296960).

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

14229272903040 is a wasteful number, since it uses less digits than its factorization.

14229272903040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 14229272903040 in words is "fourteen trillion, two hundred twenty-nine billion, two hundred seventy-two million, nine hundred three thousand, forty".