14961964343040 has 1152 divisors, whose sum is σ = 62470037468160. Its totient is φ = 3343107686400.

The previous prime is 14961964343009. The next prime is 14961964343041. The reversal of 14961964343040 is 4034346916941.

14961964343040 is a `hidden beast` number, since 1 + 4 + 96 + 1 + 96 + 434 + 30 + 4 + 0 = 666.

14961964343040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14961964343041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4008025014 + ... + 4008028746.

It is an arithmetic number, because the mean of its divisors is an integer number (54227463080).

Almost surely, 2^{14961964343040} is an apocalyptic number.

14961964343040 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 14961964343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31235018734080).

14961964343040 is an abundant number, since it is smaller than the sum of its proper divisors (47508073125120).

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

14961964343040 is a wasteful number, since it uses less digits than its factorization.

14961964343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4598 (or 4578 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 14961964343040 in words is "fourteen trillion, nine hundred sixty-one billion, nine hundred sixty-four million, three hundred forty-three thousand, forty".