14021784401040 has 1440 divisors, whose sum is σ = 56692699435008. Its totient is φ = 3075231744000.

The previous prime is 14021784401021. The next prime is 14021784401041. The reversal of 14021784401040 is 4010448712041.

14021784401040 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 178 + 440 + 1 + 0 + 40 = 666.

It is a super-2 number, since 2×14021784401040² (a number of 27 digits) contains 22 as substring.

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 = 14021784400986 and 14021784401004.

It is not an unprimeable number, because it can be changed into a prime (14021784401041) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7186972065 + ... + 7186974015.

Almost surely, 2^{14021784401040} is an apocalyptic number.

14021784401040 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 14021784401040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28346349717504).

14021784401040 is an abundant number, since it is smaller than the sum of its proper divisors (42670915033968).

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

14021784401040 is a wasteful number, since it uses less digits than its factorization.

14021784401040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2109 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 14021784401040 in words is "fourteen trillion, twenty-one billion, seven hundred eighty-four million, four hundred one thousand, forty".