14861705040 has 960 divisors, whose sum is σ = 66001108992. Its totient is φ = 3023308800.

The previous prime is 14861704951. The next prime is 14861705059. The reversal of 14861705040 is 4050716841.

It is a happy number.

14861705040 is a `hidden beast` number, since 1 + 4 + 86 + 1 + 70 + 504 + 0 = 666.

It is a super-2 number, since 2×14861705040² (a number of 21 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 = 14861704986 and 14861705004.

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, 54840105 + ... + 54840375.

Almost surely, 2^14861705040 is an apocalyptic number.

14861705040 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 14861705040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33000554496).

14861705040 is an abundant number, since it is smaller than the sum of its proper divisors (51139403952).

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

14861705040 is a wasteful number, since it uses less digits than its factorization.

14861705040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 14861705040 in words is "fourteen billion, eight hundred sixty-one million, seven hundred five thousand, forty".