2400101280000 has 1440 divisors, whose sum is σ = 9477293795200. Its totient is φ = 606341376000.

The previous prime is 2400101279999. The next prime is 2400101280001. The reversal of 2400101280000 is 821010042.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (2400101279999) and next prime (2400101280001).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 17100 × 10260 × 13680.

It is not an unprimeable number, because it can be changed into a prime (2400101280001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 126321119991 + ... + 126321120009.

Almost surely, 2^{2400101280000} is an apocalyptic number.

2400101280000 is a gapful number since it is divisible by the number (20) 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 2400101280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4738646897600).

2400101280000 is an abundant number, since it is smaller than the sum of its proper divisors (7077192515200).

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

2400101280000 is an frugal number, since it uses more digits than its factorization.

2400101280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2400101280000 its reverse (821010042), we get a palindrome (2400922290042).

The spelling of 2400101280000 in words is "two trillion, four hundred billion, one hundred one million, two hundred eighty thousand".