40133224320 has 128 divisors (see below), whose sum is σ = 146199651840. Its totient is φ = 9173305344.

The previous prime is 40133224279. The next prime is 40133224333. The reversal of 40133224320 is 2342233104.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×40133224320² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1479612 + ... + 1506491.

It is an arithmetic number, because the mean of its divisors is an integer number (1142184780).

Almost surely, 2^40133224320 is an apocalyptic number.

40133224320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40133224320 is an abundant number, since it is smaller than the sum of its proper divisors (106066427520).

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

40133224320 is a wasteful number, since it uses less digits than its factorization.

40133224320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2986132 (or 2986120 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 40133224320 its reverse (2342233104), we get a palindrome (42475457424).

The spelling of 40133224320 in words is "forty billion, one hundred thirty-three million, two hundred twenty-four thousand, three hundred twenty".