1931268959340 has 192 divisors, whose sum is σ = 6254004556800. Its totient is φ = 436180193280.

The previous prime is 1931268959339. The next prime is 1931268959351. The reversal of 1931268959340 is 439598621391.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12744336 + ... + 12894984.

It is an arithmetic number, because the mean of its divisors is an integer number (32572940400).

Almost surely, 2^{1931268959340} is an apocalyptic number.

1931268959340 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 1931268959340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3127002278400).

1931268959340 is an abundant number, since it is smaller than the sum of its proper divisors (4322735597460).

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

1931268959340 is a wasteful number, since it uses less digits than its factorization.

1931268959340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151032 (or 151030 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 60.

The spelling of 1931268959340 in words is "one trillion, nine hundred thirty-one billion, two hundred sixty-eight million, nine hundred fifty-nine thousand, three hundred forty".