1040319866880 has 768 divisors, whose sum is σ = 4410240307200. Its totient is φ = 227439083520.

The previous prime is 1040319866869. The next prime is 1040319866881. The reversal of 1040319866880 is 886689130401.

1040319866880 is a `hidden beast` number, since 10 + 403 + 1 + 98 + 6 + 68 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 (1040319866881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44501595 + ... + 44524965.

It is an arithmetic number, because the mean of its divisors is an integer number (5742500400).

Almost surely, 2^{1040319866880} is an apocalyptic number.

1040319866880 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 1040319866880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2205120153600).

1040319866880 is an abundant number, since it is smaller than the sum of its proper divisors (3369920440320).

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

1040319866880 is a wasteful number, since it uses less digits than its factorization.

1040319866880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23437 (or 23411 counting only the distinct ones).

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

The spelling of 1040319866880 in words is "one trillion, forty billion, three hundred nineteen million, eight hundred sixty-six thousand, eight hundred eighty".