14290061940 has 576 divisors, whose sum is σ = 56626053120. Its totient is φ = 2830464000.

The previous prime is 14290061927. The next prime is 14290061959. The reversal of 14290061940 is 4916009241.

It is a happy number.

14290061940 is a `hidden beast` number, since 14 + 29 + 0 + 0 + 619 + 4 + 0 = 666.

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 = 14290061895 and 14290061904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33942930 + ... + 33943350.

It is an arithmetic number, because the mean of its divisors is an integer number (98309120).

Almost surely, 2^14290061940 is an apocalyptic number.

14290061940 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 14290061940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28313026560).

14290061940 is an abundant number, since it is smaller than the sum of its proper divisors (42335991180).

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

14290061940 is a wasteful number, since it uses less digits than its factorization.

14290061940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 14290061940 in words is "fourteen billion, two hundred ninety million, sixty-one thousand, nine hundred forty".