14242541040 has 960 divisors, whose sum is σ = 62422004736. Its totient is φ = 2938208256.

The previous prime is 14242541029. The next prime is 14242541069. The reversal of 14242541040 is 4014524241.

14242541040 is a `hidden beast` number, since 1 + 4 + 242 + 5 + 410 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14242540995 and 14242541013.

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, 146830272 + ... + 146830368.

Almost surely, 2^14242541040 is an apocalyptic number.

14242541040 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 14242541040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31211002368).

14242541040 is an abundant number, since it is smaller than the sum of its proper divisors (48179463696).

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

14242541040 is a wasteful number, since it uses less digits than its factorization.

14242541040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The spelling of 14242541040 in words is "fourteen billion, two hundred forty-two million, five hundred forty-one thousand, forty".