4281154560000 has 1960 divisors, whose sum is σ = 17005844437824. Its totient is φ = 1074954240000.

The previous prime is 4281154559987. The next prime is 4281154560013. The reversal of 4281154560000 is 654511824.

It is a happy number.

4281154560000 is a `hidden beast` number, since 4 + 2 + 8 + 1 + 1 + 5 + 45 + 600 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4281154559987) and next prime (4281154560013).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 115706879982 + ... + 115706880018.

Almost surely, 2^{4281154560000} is an apocalyptic number.

4281154560000 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 4281154560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8502922218912).

4281154560000 is an abundant number, since it is smaller than the sum of its proper divisors (12724689877824).

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

4281154560000 is an frugal number, since it uses more digits than its factorization.

4281154560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 4281154560000 in words is "four trillion, two hundred eighty-one billion, one hundred fifty-four million, five hundred sixty thousand".