40184325120 has 264 divisors, whose sum is σ = 135666382464. Its totient is φ = 10150428672.

The previous prime is 40184325109. The next prime is 40184325173. The reversal of 40184325120 is 2152348104.

It is a super-2 number, since 2×40184325120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 5541337 + ... + 5548583.

Almost surely, 2^40184325120 is an apocalyptic number.

40184325120 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 40184325120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67833191232).

40184325120 is an abundant number, since it is smaller than the sum of its proper divisors (95482057344).

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

40184325120 is a wasteful number, since it uses less digits than its factorization.

40184325120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7313 (or 7276 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 40184325120 in words is "forty billion, one hundred eighty-four million, three hundred twenty-five thousand, one hundred twenty".