40427885440800 has 5760 divisors, whose sum is σ = 193916708536320. Its totient is φ = 8047226880000.

The previous prime is 40427885440799. The next prime is 40427885440847. The reversal of 40427885440800 is 804458872404.

40427885440800 is a `hidden beast` number, since 4 + 0 + 42 + 7 + 8 + 85 + 440 + 80 + 0 = 666.

It is a super-2 number, since 2×40427885440800² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 191601352695 + ... + 191601352905.

It is an arithmetic number, because the mean of its divisors is an integer number (33666095232).

Almost surely, 2^{40427885440800} is an apocalyptic number.

40427885440800 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 40427885440800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96958354268160).

40427885440800 is an abundant number, since it is smaller than the sum of its proper divisors (153488823095520).

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

40427885440800 is a wasteful number, since it uses less digits than its factorization.

40427885440800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 9175040, while the sum is 54.

The spelling of 40427885440800 in words is "forty trillion, four hundred twenty-seven billion, eight hundred eighty-five million, four hundred forty thousand, eight hundred".