4144555274000 has 80 divisors (see below), whose sum is σ = 10265962530096. Its totient is φ = 1617387392000.

The previous prime is 4144555273997. The next prime is 4144555274009. The reversal of 4144555274000 is 4725554414.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 971155062784 + 3173400211216 = 985472^2 + 1781404^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (4144555274009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25189679 + ... + 25353678.

Almost surely, 2^{4144555274000} is an apocalyptic number.

4144555274000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4144555274000 is an abundant number, since it is smaller than the sum of its proper divisors (6121407256096).

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

4144555274000 is a wasteful number, since it uses less digits than its factorization.

4144555274000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50543421 (or 50543405 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 41.

The spelling of 4144555274000 in words is "four trillion, one hundred forty-four billion, five hundred fifty-five million, two hundred seventy-four thousand".