1041940048968 has 384 divisors, whose sum is σ = 3723811459200. Its totient is φ = 267369113088.

The previous prime is 1041940048967. The next prime is 1041940048979. The reversal of 1041940048968 is 8698400491401.

It is a happy number.

1041940048968 is a `hidden beast` number, since 10 + 4 + 1 + 94 + 0 + 0 + 489 + 68 = 666.

1041940048968 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1041940048967) 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, 4988571 + ... + 5193237.

It is an arithmetic number, because the mean of its divisors is an integer number (9697425675).

Almost surely, 2^{1041940048968} is an apocalyptic number.

1041940048968 is a gapful number since it is divisible by the number (18) 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 1041940048968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1861905729600).

1041940048968 is an abundant number, since it is smaller than the sum of its proper divisors (2681871410232).

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

1041940048968 is a wasteful number, since it uses less digits than its factorization.

1041940048968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204746 (or 204729 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 1041940048968 in words is "one trillion, forty-one billion, nine hundred forty million, forty-eight thousand, nine hundred sixty-eight".