40768101011340 has 36 divisors (see below), whose sum is σ = 123663239734944. Its totient is φ = 10871493602976.

The previous prime is 40768101011329. The next prime is 40768101011357. The reversal of 40768101011340 is 4311010186704.

40768101011340 is a `hidden beast` number, since 407 + 6 + 8 + 10 + 101 + 134 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40768101011295 and 40768101011304.

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 11 ways as a sum of consecutive naturals, for example, 113244724852 + ... + 113244725211.

Almost surely, 2^{40768101011340} is an apocalyptic number.

It is an amenable number.

40768101011340 is an abundant number, since it is smaller than the sum of its proper divisors (82895138723604).

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

40768101011340 is a wasteful number, since it uses less digits than its factorization.

40768101011340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226489450078 (or 226489450073 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 40768101011340 in words is "forty trillion, seven hundred sixty-eight billion, one hundred one million, eleven thousand, three hundred forty".