40055682401280 has 2816 divisors, whose sum is σ = 186844804392960. Its totient is φ = 7896884576256.

The previous prime is 40055682401279. The next prime is 40055682401351. The reversal of 40055682401280 is 8210428655004.

40055682401280 is a `hidden beast` number, since 4 + 0 + 0 + 5 + 568 + 2 + 4 + 0 + 1 + 2 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 33575592364 + ... + 33575593556.

Almost surely, 2^{40055682401280} is an apocalyptic number.

40055682401280 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 40055682401280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93422402196480).

40055682401280 is an abundant number, since it is smaller than the sum of its proper divisors (146789121991680).

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

40055682401280 is a wasteful number, since it uses less digits than its factorization.

40055682401280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 40055682401280 in words is "forty trillion, fifty-five billion, six hundred eighty-two million, four hundred one thousand, two hundred eighty".