40133325120 has 224 divisors, whose sum is σ = 146236797696. Its totient is φ = 9134899200.

The previous prime is 40133325107. The next prime is 40133325179. The reversal of 40133325120 is 2152333104.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×40133325120² (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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1607130 + ... + 1631910.

Almost surely, 2^40133325120 is an apocalyptic number.

40133325120 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 40133325120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73118398848).

40133325120 is an abundant number, since it is smaller than the sum of its proper divisors (106103472576).

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

40133325120 is a wasteful number, since it uses less digits than its factorization.

40133325120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25049 (or 25039 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 40133325120 its reverse (2152333104), we get a palindrome (42285658224).

The spelling of 40133325120 in words is "forty billion, one hundred thirty-three million, three hundred twenty-five thousand, one hundred twenty".