14412154503040 has 256 divisors, whose sum is σ = 40079204352000. Its totient is φ = 4853844172800.

The previous prime is 14412154503031. The next prime is 14412154503041. The reversal of 14412154503040 is 4030545121441.

It is a happy number.

It is a super-2 number, since 2×14412154503040² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14412154502987 and 14412154503005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14412154503041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57339561 + ... + 57590359.

It is an arithmetic number, because the mean of its divisors is an integer number (156559392000).

Almost surely, 2^{14412154503040} is an apocalyptic number.

14412154503040 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 14412154503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20039602176000).

14412154503040 is an abundant number, since it is smaller than the sum of its proper divisors (25667049848960).

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

14412154503040 is a wasteful number, since it uses less digits than its factorization.

14412154503040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251053 (or 251041 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

Adding to 14412154503040 its reverse (4030545121441), we get a palindrome (18442699624481).

The spelling of 14412154503040 in words is "fourteen trillion, four hundred twelve billion, one hundred fifty-four million, five hundred three thousand, forty".