2403120040000 has 315 divisors, whose sum is σ = 6247845765777. Its totient is φ = 916726272000.

The previous prime is 2403120039979. The next prime is 2403120040049. The reversal of 2403120040000 is 400213042.

The square root of 2403120040000 is 1550200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 2241631795264 + 161488244736 = 1497208^2 + 401856^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a Duffinian number.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 7130919832 + ... + 7130920168.

Almost surely, 2^{2403120040000} is an apocalyptic number.

2403120040000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2403120040000 is the 1550200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2403120040000

2403120040000 is an abundant number, since it is smaller than the sum of its proper divisors (3844725725777).

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

2403120040000 is an frugal number, since it uses more digits than its factorization.

2403120040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Multiplying 2403120040000 by its sum of digits (16), we get a square (38449920640000 = 6200800²).

2403120040000 divided by its sum of digits (16) gives a square (150195002500 = 387550²).

Adding to 2403120040000 its reverse (400213042), we get a palindrome (2403520253042).

The spelling of 2403120040000 in words is "two trillion, four hundred three billion, one hundred twenty million, forty thousand".