2401415412240 has 480 divisors, whose sum is σ = 8163613745280. Its totient is φ = 580482367488.

The previous prime is 2401415412239. The next prime is 2401415412251. The reversal of 2401415412240 is 422145141042.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2401415412198 and 2401415412207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5254738092 + ... + 5254738548.

It is an arithmetic number, because the mean of its divisors is an integer number (17007528636).

Almost surely, 2^{2401415412240} is an apocalyptic number.

2401415412240 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 2401415412240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4081806872640).

2401415412240 is an abundant number, since it is smaller than the sum of its proper divisors (5762198333040).

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

2401415412240 is a wasteful number, since it uses less digits than its factorization.

2401415412240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The spelling of 2401415412240 in words is "two trillion, four hundred one billion, four hundred fifteen million, four hundred twelve thousand, two hundred forty".