40221042243200 has 864 divisors, whose sum is σ = 126669868234560. Its totient is φ = 12575244165120.

The previous prime is 40221042243133. The next prime is 40221042243209. The reversal of 40221042243200 is 234224012204.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 40221042243200.

It is not an unprimeable number, because it can be changed into a prime (40221042243209) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2199424457 + ... + 2199442743.

It is an arithmetic number, because the mean of its divisors is an integer number (146608643790).

Almost surely, 2^{40221042243200} is an apocalyptic number.

40221042243200 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 40221042243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63334934117280).

40221042243200 is an abundant number, since it is smaller than the sum of its proper divisors (86448825991360).

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

40221042243200 is a wasteful number, since it uses less digits than its factorization.

40221042243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18434 (or 18397 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 40221042243200 its reverse (234224012204), we get a palindrome (40455266255404).

The spelling of 40221042243200 in words is "forty trillion, two hundred twenty-one billion, forty-two million, two hundred forty-three thousand, two hundred".