40881278131200 has 2376 divisors, whose sum is σ = 165855470372592. Its totient is φ = 9558263070720.

The previous prime is 40881278131159. The next prime is 40881278131201. The reversal of 40881278131200 is 213187218804.

40881278131200 is a `hidden beast` number, since 40 + 8 + 8 + 1 + 278 + 131 + 200 = 666.

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 (40881278131201) by changing a digit.

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 215 ways as a sum of consecutive naturals, for example, 361781222344 + ... + 361781222456.

Almost surely, 2^{40881278131200} is an apocalyptic number.

40881278131200 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 40881278131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82927735186296).

40881278131200 is an abundant number, since it is smaller than the sum of its proper divisors (124974192241392).

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

40881278131200 is a wasteful number, since it uses less digits than its factorization.

40881278131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 40881278131200 in words is "forty trillion, eight hundred eighty-one billion, two hundred seventy-eight million, one hundred thirty-one thousand, two hundred".