40969956867840 has 5760 divisors, whose sum is σ = 210610829721600. Its totient is φ = 7322588282880.

The previous prime is 40969956867793. The next prime is 40969956867881. The reversal of 40969956867840 is 4876865996904.

40969956867840 is a `hidden beast` number, since 4 + 0 + 9 + 6 + 9 + 9 + 568 + 6 + 7 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 40969956867840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 155779303549 + ... + 155779303811.

It is an arithmetic number, because the mean of its divisors is an integer number (36564380160).

Almost surely, 2^{40969956867840} is an apocalyptic number.

40969956867840 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 40969956867840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105305414860800).

40969956867840 is an abundant number, since it is smaller than the sum of its proper divisors (169640872853760).

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

40969956867840 is a wasteful number, since it uses less digits than its factorization.

40969956867840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 5643509760, while the sum is 81.

The spelling of 40969956867840 in words is "forty trillion, nine hundred sixty-nine billion, nine hundred fifty-six million, eight hundred sixty-seven thousand, eight hundred forty".