40189495406760 has 320 divisors, whose sum is σ = 154399664073600. Its totient is φ = 9184922740224.

The previous prime is 40189495406759. The next prime is 40189495406773. The reversal of 40189495406760 is 6760459498104.

40189495406760 is a `hidden beast` number, since 4 + 0 + 1 + 89 + 4 + 9 + 540 + 6 + 7 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 79 ways as a sum of consecutive naturals, for example, 172319506 + ... + 172552574.

It is an arithmetic number, because the mean of its divisors is an integer number (482498950230).

Almost surely, 2^{40189495406760} is an apocalyptic number.

40189495406760 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 40189495406760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77199832036800).

40189495406760 is an abundant number, since it is smaller than the sum of its proper divisors (114210168666840).

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

40189495406760 is a wasteful number, since it uses less digits than its factorization.

40189495406760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240702 (or 240689 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 40189495406760 in words is "forty trillion, one hundred eighty-nine billion, four hundred ninety-five million, four hundred six thousand, seven hundred sixty".