1959405449532 has 96 divisors (see below), whose sum is σ = 4873557072384. Its totient is φ = 611376057600.

The previous prime is 1959405449501. The next prime is 1959405449539. The reversal of 1959405449532 is 2359445049591.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1959405449539) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3021307 + ... + 3612077.

It is an arithmetic number, because the mean of its divisors is an integer number (50766219504).

Almost surely, 2^{1959405449532} is an apocalyptic number.

1959405449532 is a gapful number since it is divisible by the number (12) 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 1959405449532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2436778536192).

1959405449532 is an abundant number, since it is smaller than the sum of its proper divisors (2914151622852).

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

1959405449532 is a wasteful number, since it uses less digits than its factorization.

1959405449532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591059 (or 591057 counting only the distinct ones).

The product of its (nonzero) digits is 34992000, while the sum is 60.

The spelling of 1959405449532 in words is "one trillion, nine hundred fifty-nine billion, four hundred five million, four hundred forty-nine thousand, five hundred thirty-two".