4387254534144 has 768 divisors, whose sum is σ = 14152540147200. Its totient is φ = 1353773481984.

The previous prime is 4387254534133. The next prime is 4387254534181. The reversal of 4387254534144 is 4414354527834.

4387254534144 is a `hidden beast` number, since 4 + 3 + 8 + 7 + 254 + 5 + 341 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-3 number, since 3×4387254534144³ (a number of 39 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7110622924 + ... + 7110623540.

It is an arithmetic number, because the mean of its divisors is an integer number (18427786650).

Almost surely, 2^{4387254534144} 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 4387254534144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7076270073600).

4387254534144 is an abundant number, since it is smaller than the sum of its proper divisors (9765285613056).

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

4387254534144 is an frugal number, since it uses more digits than its factorization.

4387254534144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 688 counting only the distinct ones).

The product of its digits is 25804800, while the sum is 54.

The spelling of 4387254534144 in words is "four trillion, three hundred eighty-seven billion, two hundred fifty-four million, five hundred thirty-four thousand, one hundred forty-four".