40828020409296 has 160 divisors (see below), whose sum is σ = 118848823545600. Its totient is φ = 13416903037440.

The previous prime is 40828020409283. The next prime is 40828020409313. The reversal of 40828020409296 is 69290402082804.

40828020409296 is a `hidden beast` number, since 40 + 82 + 80 + 20 + 409 + 29 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 882993090 + ... + 883039326.

It is an arithmetic number, because the mean of its divisors is an integer number (742805147160).

Almost surely, 2^{40828020409296} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40828020409296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59424411772800).

40828020409296 is an abundant number, since it is smaller than the sum of its proper divisors (78020803136304).

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

40828020409296 is a wasteful number, since it uses less digits than its factorization.

40828020409296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75114 (or 75102 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 40828020409296 in words is "forty trillion, eight hundred twenty-eight billion, twenty million, four hundred nine thousand, two hundred ninety-six".