40534179840000 has 4560 divisors, whose sum is σ = 201654873034560. Its totient is φ = 7927234560000.

The previous prime is 40534179839999. The next prime is 40534179840001. The reversal of 40534179840000 is 4897143504.

40534179840000 is a `hidden beast` number, since 4 + 0 + 534 + 1 + 79 + 8 + 40 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (40534179839999) and next prime (40534179840001).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40534179840001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2384363519992 + ... + 2384363520008.

It is an arithmetic number, because the mean of its divisors is an integer number (44222559876).

Almost surely, 2^{40534179840000} is an apocalyptic number.

40534179840000 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 40534179840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100827436517280).

40534179840000 is an abundant number, since it is smaller than the sum of its proper divisors (161120693194560).

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

40534179840000 is an frugal number, since it uses more digits than its factorization.

40534179840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 40534179840000 in words is "forty trillion, five hundred thirty-four billion, one hundred seventy-nine million, eight hundred forty thousand".