1040899294656 has 1008 divisors, whose sum is σ = 3562017548544. Its totient is φ = 300604981248.

The previous prime is 1040899294583. The next prime is 1040899294751. The reversal of 1040899294656 is 6564929980401.

1040899294656 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 89 + 92 + 9 + 465 + 6 = 666.

1040899294656 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 junction number, because it is equal to n+sod(n) for n = 1040899294593 and 1040899294602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4050191680 + ... + 4050191936.

It is an arithmetic number, because the mean of its divisors is an integer number (3533747568).

Almost surely, 2^{1040899294656} is an apocalyptic number.

1040899294656 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 1040899294656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781008774272).

1040899294656 is an abundant number, since it is smaller than the sum of its proper divisors (2521118253888).

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

1040899294656 is a wasteful number, since it uses less digits than its factorization.

1040899294656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 1040899294656 in words is "one trillion, forty billion, eight hundred ninety-nine million, two hundred ninety-four thousand, six hundred fifty-six".