41400033132420 has 384 divisors, whose sum is σ = 136994461793280. Its totient is φ = 10357766369280.

The previous prime is 41400033132377. The next prime is 41400033132433. The reversal of 41400033132420 is 2423133000414.

41400033132420 is a `hidden beast` number, since 4 + 1 + 4 + 0 + 0 + 0 + 331 + 324 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 163979322 + ... + 164231598.

It is an arithmetic number, because the mean of its divisors is an integer number (356756410920).

Almost surely, 2^{41400033132420} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41400033132420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68497230896640).

41400033132420 is an abundant number, since it is smaller than the sum of its proper divisors (95594428660860).

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

41400033132420 is a wasteful number, since it uses less digits than its factorization.

41400033132420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252572 (or 252564 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 41400033132420 its reverse (2423133000414), we get a palindrome (43823166132834).

The spelling of 41400033132420 in words is "forty-one trillion, four hundred billion, thirty-three million, one hundred thirty-two thousand, four hundred twenty".