2401340403000 has 1536 divisors, whose sum is σ = 10227194265600. Its totient is φ = 462381696000.

The previous prime is 2401340402969. The next prime is 2401340403029. The reversal of 2401340403000 is 3040431042.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1443980169 + ... + 1443981831.

It is an arithmetic number, because the mean of its divisors is an integer number (6658329600).

Almost surely, 2^{2401340403000} is an apocalyptic number.

2401340403000 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 2401340403000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5113597132800).

2401340403000 is an abundant number, since it is smaller than the sum of its proper divisors (7825853862600).

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

2401340403000 is a wasteful number, since it uses less digits than its factorization.

2401340403000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 2401340403000 its reverse (3040431042), we get a palindrome (2404380834042).

The spelling of 2401340403000 in words is "two trillion, four hundred one billion, three hundred forty million, four hundred three thousand".