2314039825440 has 1152 divisors, whose sum is σ = 10044228096000. Its totient is φ = 494674532352.

The previous prime is 2314039825417. The next prime is 2314039825523. The reversal of 2314039825440 is 445289304132.

2314039825440 is a `hidden beast` number, since 2 + 3 + 1 + 4 + 0 + 398 + 254 + 4 + 0 = 666.

It is a super-4 number, since 4×2314039825440⁴ (a number of 51 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 317728039 + ... + 317735321.

It is an arithmetic number, because the mean of its divisors is an integer number (8718948000).

Almost surely, 2^{2314039825440} is an apocalyptic number.

2314039825440 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 2314039825440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5022114048000).

2314039825440 is an abundant number, since it is smaller than the sum of its proper divisors (7730188270560).

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

2314039825440 is a wasteful number, since it uses less digits than its factorization.

2314039825440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7419 (or 7398 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 2314039825440 in words is "two trillion, three hundred fourteen billion, thirty-nine million, eight hundred twenty-five thousand, four hundred forty".