40769567187840 has 1024 divisors, whose sum is σ = 150504857395200. Its totient is φ = 10419013877760.

The previous prime is 40769567187821. The next prime is 40769567187851. The reversal of 40769567187840 is 4878176596704.

40769567187840 is a `hidden beast` number, since 4 + 0 + 7 + 6 + 9 + 567 + 18 + 7 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28450499764 + ... + 28450501196.

It is an arithmetic number, because the mean of its divisors is an integer number (146977399800).

Almost surely, 2^{40769567187840} is an apocalyptic number.

40769567187840 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 40769567187840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75252428697600).

40769567187840 is an abundant number, since it is smaller than the sum of its proper divisors (109735290207360).

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

40769567187840 is a wasteful number, since it uses less digits than its factorization.

40769567187840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 568995840, while the sum is 72.

The spelling of 40769567187840 in words is "forty trillion, seven hundred sixty-nine billion, five hundred sixty-seven million, one hundred eighty-seven thousand, eight hundred forty".