40546913235264 has 672 divisors, whose sum is σ = 124922841563520. Its totient is φ = 13047633321984.

The previous prime is 40546913235223. The next prime is 40546913235271. The reversal of 40546913235264 is 46253231964504.

40546913235264 is a `hidden beast` number, since 4 + 0 + 5 + 4 + 6 + 91 + 3 + 23 + 526 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 40546913235264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68375907352 + ... + 68375907944.

It is an arithmetic number, because the mean of its divisors is an integer number (185897085660).

Almost surely, 2^{40546913235264} 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 40546913235264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62461420781760).

40546913235264 is an abundant number, since it is smaller than the sum of its proper divisors (84375928328256).

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

40546913235264 is an frugal number, since it uses more digits than its factorization.

40546913235264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 40546913235264 in words is "forty trillion, five hundred forty-six billion, nine hundred thirteen million, two hundred thirty-five thousand, two hundred sixty-four".