40912516213920 has 1728 divisors, whose sum is σ = 159627572342784. Its totient is φ = 9479145553920.

The previous prime is 40912516213883. The next prime is 40912516213937. The reversal of 40912516213920 is 2931261521904.

It is a happy number.

40912516213920 is a `hidden beast` number, since 4 + 0 + 9 + 1 + 251 + 6 + 2 + 1 + 392 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 180231348847 + ... + 180231349073.

It is an arithmetic number, because the mean of its divisors is an integer number (92377067328).

Almost surely, 2^{40912516213920} is an apocalyptic number.

40912516213920 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 40912516213920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79813786171392).

40912516213920 is an abundant number, since it is smaller than the sum of its proper divisors (118715056128864).

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

40912516213920 is a wasteful number, since it uses less digits than its factorization.

40912516213920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 40912516213920 in words is "forty trillion, nine hundred twelve billion, five hundred sixteen million, two hundred thirteen thousand, nine hundred twenty".