40009244892800 has 192 divisors, whose sum is σ = 104047189735200. Its totient is φ = 15159941959680.

The previous prime is 40009244892677. The next prime is 40009244892823. The reversal of 40009244892800 is 829844290004.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 799312574 + ... + 799362626.

Almost surely, 2^{40009244892800} is an apocalyptic number.

40009244892800 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 40009244892800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52023594867600).

40009244892800 is an abundant number, since it is smaller than the sum of its proper divisors (64037944842400).

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

40009244892800 is a wasteful number, since it uses less digits than its factorization.

40009244892800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63243 (or 63226 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 50.

The spelling of 40009244892800 in words is "forty trillion, nine billion, two hundred forty-four million, eight hundred ninety-two thousand, eight hundred".