40884254400 has 252 divisors, whose sum is σ = 147439106696. Its totient is φ = 9911193600.

The previous prime is 40884254311. The next prime is 40884254407. The reversal of 40884254400 is 445248804.

It is not an unprimeable number, because it can be changed into a prime (40884254407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 545604 + ... + 615996.

Almost surely, 2^40884254400 is an apocalyptic number.

40884254400 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 40884254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73719553348).

40884254400 is an abundant number, since it is smaller than the sum of its proper divisors (106554852296).

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

40884254400 is a wasteful number, since it uses less digits than its factorization.

40884254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70440 (or 70414 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 39.

The spelling of 40884254400 in words is "forty billion, eight hundred eighty-four million, two hundred fifty-four thousand, four hundred".