40270138682400 has 1728 divisors, whose sum is σ = 166229541878400. Its totient is φ = 9065447424000.

The previous prime is 40270138682317. The next prime is 40270138682441. The reversal of 40270138682400 is 428683107204.

It is a happy number.

40270138682400 is a `hidden beast` number, since 4 + 0 + 27 + 0 + 1 + 386 + 8 + 240 + 0 = 666.

It is a super-3 number, since 3×40270138682400³ (a number of 42 digits) contains 333 as substring.

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

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 287 ways as a sum of consecutive naturals, for example, 48576765186 + ... + 48576766014.

It is an arithmetic number, because the mean of its divisors is an integer number (96197651550).

Almost surely, 2^{40270138682400} is an apocalyptic number.

40270138682400 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 40270138682400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83114770939200).

40270138682400 is an abundant number, since it is smaller than the sum of its proper divisors (125959403196000).

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

40270138682400 is a wasteful number, since it uses less digits than its factorization.

40270138682400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 40270138682400 in words is "forty trillion, two hundred seventy billion, one hundred thirty-eight million, six hundred eighty-two thousand, four hundred".