40244152320 has 768 divisors, whose sum is σ = 154732032000. Its totient is φ = 9889579008.

The previous prime is 40244152313. The next prime is 40244152321. The reversal of 40244152320 is 2325144204.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×40244152320² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (40244152321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 246896559 + ... + 246896721.

It is an arithmetic number, because the mean of its divisors is an integer number (201474000).

Almost surely, 2^40244152320 is an apocalyptic number.

40244152320 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 40244152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77366016000).

40244152320 is an abundant number, since it is smaller than the sum of its proper divisors (114487879680).

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

40244152320 is a wasteful number, since it uses less digits than its factorization.

40244152320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 40244152320 its reverse (2325144204), we get a palindrome (42569296524).

The spelling of 40244152320 in words is "forty billion, two hundred forty-four million, one hundred fifty-two thousand, three hundred twenty".