40906668277760 has 128 divisors (see below), whose sum is σ = 99838504087200. Its totient is φ = 16085330165760.

The previous prime is 40906668277751. The next prime is 40906668277777. The reversal of 40906668277760 is 6777286660904.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7550675 + ... + 11782445.

Almost surely, 2^{40906668277760} is an apocalyptic number.

40906668277760 is a gapful number since it is divisible by the number (40) 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 40906668277760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49919252043600).

40906668277760 is an abundant number, since it is smaller than the sum of its proper divisors (58931835809440).

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

40906668277760 is an frugal number, since it uses more digits than its factorization.

40906668277760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4231865 (or 4231837 counting only the distinct ones).

The product of its (nonzero) digits is 256048128, while the sum is 68.

The spelling of 40906668277760 in words is "forty trillion, nine hundred six billion, six hundred sixty-eight million, two hundred seventy-seven thousand, seven hundred sixty".