4392427253760 has 2912 divisors, whose sum is σ = 20142427552128. Its totient is φ = 894361927680.

The previous prime is 4392427253759. The next prime is 4392427253789. The reversal of 4392427253760 is 673527242934.

It is a happy number.

4392427253760 is a `hidden beast` number, since 4 + 3 + 9 + 2 + 42 + 7 + 2 + 537 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2912).

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

It is a junction number, because it is equal to n+sod(n) for n = 4392427253697 and 4392427253706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 72007004130 + ... + 72007004190.

Almost surely, 2^{4392427253760} is an apocalyptic number.

4392427253760 is a gapful number since it is divisible by the number (40) 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 4392427253760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10071213776064).

4392427253760 is an abundant number, since it is smaller than the sum of its proper divisors (15750000298368).

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

4392427253760 is an equidigital number, since it uses as much as digits as its factorization.

4392427253760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 4392427253760 in words is "four trillion, three hundred ninety-two billion, four hundred twenty-seven million, two hundred fifty-three thousand, seven hundred sixty".