2409374269440 has 360 divisors, whose sum is σ = 8640327608640. Its totient is φ = 620339134464.

The previous prime is 2409374269429. The next prime is 2409374269447. The reversal of 2409374269440 is 449624739042.

2409374269440 is a `hidden beast` number, since 2 + 4 + 0 + 9 + 374 + 269 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2409374269447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21324777 + ... + 21437463.

It is an arithmetic number, because the mean of its divisors is an integer number (24000910024).

Almost surely, 2^{2409374269440} is an apocalyptic number.

2409374269440 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 2409374269440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4320163804320).

2409374269440 is an abundant number, since it is smaller than the sum of its proper divisors (6230953339200).

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

2409374269440 is a wasteful number, since it uses less digits than its factorization.

2409374269440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112755 (or 112726 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 2409374269440 in words is "two trillion, four hundred nine billion, three hundred seventy-four million, two hundred sixty-nine thousand, four hundred forty".