4013720145144 has 384 divisors, whose sum is σ = 12237308928000. Its totient is φ = 1215189803520.

The previous prime is 4013720145133. The next prime is 4013720145223. The reversal of 4013720145144 is 4415410273104.

4013720145144 is a `hidden beast` number, since 4 + 0 + 1 + 372 + 0 + 145 + 144 = 666.

It is a super-2 number, since 2×4013720145144² (a number of 26 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 = 4013720145099 and 4013720145108.

It is a congruent number.

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, 536088169 + ... + 536095655.

It is an arithmetic number, because the mean of its divisors is an integer number (31867992000).

Almost surely, 2^{4013720145144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4013720145144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6118654464000).

4013720145144 is an abundant number, since it is smaller than the sum of its proper divisors (8223588782856).

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

4013720145144 is a wasteful number, since it uses less digits than its factorization.

4013720145144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7676 (or 7605 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 4013720145144 in words is "four trillion, thirteen billion, seven hundred twenty million, one hundred forty-five thousand, one hundred forty-four".