40380072118200 has 384 divisors, whose sum is σ = 142106583168000. Its totient is φ = 10534433356800.

The previous prime is 40380072118171. The next prime is 40380072118207. The reversal of 40380072118200 is 281127008304.

40380072118200 is a `hidden beast` number, since 4 + 0 + 380 + 0 + 72 + 1 + 1 + 8 + 200 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40380072118207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 619493211 + ... + 619558389.

It is an arithmetic number, because the mean of its divisors is an integer number (370069227000).

Almost surely, 2^{40380072118200} is an apocalyptic number.

40380072118200 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 40380072118200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71053291584000).

40380072118200 is an abundant number, since it is smaller than the sum of its proper divisors (101726511049800).

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

40380072118200 is a wasteful number, since it uses less digits than its factorization.

40380072118200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67692 (or 67677 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 40380072118200 in words is "forty trillion, three hundred eighty billion, seventy-two million, one hundred eighteen thousand, two hundred".