1040685101456 has 160 divisors (see below), whose sum is σ = 2758318956288. Its totient is φ = 367210321920.

The previous prime is 1040685101453. The next prime is 1040685101461. The reversal of 1040685101456 is 6541015860401.

It is not an unprimeable number, because it can be changed into a prime (1040685101453) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 235850 + ... + 1461846.

Almost surely, 2^{1040685101456} is an apocalyptic number.

1040685101456 is a gapful number since it is divisible by the number (16) 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 1040685101456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379159478144).

1040685101456 is an abundant number, since it is smaller than the sum of its proper divisors (1717633854832).

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

1040685101456 is a wasteful number, since it uses less digits than its factorization.

1040685101456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226089 (or 1226083 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 41.

The spelling of 1040685101456 in words is "one trillion, forty billion, six hundred eighty-five million, one hundred one thousand, four hundred fifty-six".