2415726441040 has 320 divisors, whose sum is σ = 6389607110400. Its totient is φ = 841339699200.

The previous prime is 2415726441019. The next prime is 2415726441047. The reversal of 2415726441040 is 401446275142.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2415726440984 and 2415726441002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2415726441047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2062959655 + ... + 2062960825.

It is an arithmetic number, because the mean of its divisors is an integer number (19967522220).

Almost surely, 2^{2415726441040} is an apocalyptic number.

2415726441040 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 2415726441040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3194803555200).

2415726441040 is an abundant number, since it is smaller than the sum of its proper divisors (3973880669360).

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

2415726441040 is a wasteful number, since it uses less digits than its factorization.

2415726441040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1806 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 40.

The spelling of 2415726441040 in words is "two trillion, four hundred fifteen billion, seven hundred twenty-six million, four hundred forty-one thousand, forty".