40057429328280 has 1536 divisors, whose sum is σ = 176351769216000. Its totient is φ = 7994345103360.

The previous prime is 40057429328269. The next prime is 40057429328387. The reversal of 40057429328280 is 8282392475004.

40057429328280 is a `hidden beast` number, since 4 + 0 + 0 + 5 + 74 + 293 + 2 + 8 + 280 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 383 ways as a sum of consecutive naturals, for example, 9947211627 + ... + 9947215653.

It is an arithmetic number, because the mean of its divisors is an integer number (114812349750).

Almost surely, 2^{40057429328280} is an apocalyptic number.

40057429328280 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 40057429328280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88175884608000).

40057429328280 is an abundant number, since it is smaller than the sum of its proper divisors (136294339887720).

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

40057429328280 is a wasteful number, since it uses less digits than its factorization.

40057429328280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4854 (or 4837 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 40057429328280 in words is "forty trillion, fifty-seven billion, four hundred twenty-nine million, three hundred twenty-eight thousand, two hundred eighty".