1959745227440 has 480 divisors, whose sum is σ = 6262046703360. Its totient is φ = 560664115200.

The previous prime is 1959745227439. The next prime is 1959745227443. The reversal of 1959745227440 is 447225479591.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1959745227440.

It is not an unprimeable number, because it can be changed into a prime (1959745227443) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 100330475 + ... + 100350005.

It is an arithmetic number, because the mean of its divisors is an integer number (13045930632).

Almost surely, 2^{1959745227440} is an apocalyptic number.

1959745227440 is a gapful number since it is divisible by the number (10) 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 1959745227440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3131023351680).

1959745227440 is an abundant number, since it is smaller than the sum of its proper divisors (4302301475920).

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

1959745227440 is a wasteful number, since it uses less digits than its factorization.

1959745227440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19761 (or 19748 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 59.

The spelling of 1959745227440 in words is "one trillion, nine hundred fifty-nine billion, seven hundred forty-five million, two hundred twenty-seven thousand, four hundred forty".