40906873012600 has 576 divisors, whose sum is σ = 123288791155200. Its totient is φ = 12332524216320.

The previous prime is 40906873012573. The next prime is 40906873012601. The reversal of 40906873012600 is 621037860904.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40906873012601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 400098286 + ... + 400200514.

It is an arithmetic number, because the mean of its divisors is an integer number (214043040200).

Almost surely, 2^{40906873012600} is an apocalyptic number.

40906873012600 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 40906873012600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61644395577600).

40906873012600 is an abundant number, since it is smaller than the sum of its proper divisors (82381918142600).

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

40906873012600 is a wasteful number, since it uses less digits than its factorization.

40906873012600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102352 (or 102326 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The spelling of 40906873012600 in words is "forty trillion, nine hundred six billion, eight hundred seventy-three million, twelve thousand, six hundred".