14492111040 has 672 divisors, whose sum is σ = 58542082560. Its totient is φ = 3251404800.

The previous prime is 14492111033. The next prime is 14492111071. The reversal of 14492111040 is 4011129441.

14492111040 is a `hidden beast` number, since 1 + 449 + 211 + 1 + 0 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 14492110995 and 14492111013.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38237571 + ... + 38237949.

Almost surely, 2^14492111040 is an apocalyptic number.

14492111040 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 14492111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29271041280).

14492111040 is an abundant number, since it is smaller than the sum of its proper divisors (44049971520).

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

14492111040 is a wasteful number, since it uses less digits than its factorization.

14492111040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

It can be divided in two parts, 144921 and 11040, that added together give a triangular number (155961 = T₅₅₈).

The spelling of 14492111040 in words is "fourteen billion, four hundred ninety-two million, one hundred eleven thousand, forty".