40332125088 has 288 divisors, whose sum is σ = 123945075072. Its totient is φ = 12408422400.

The previous prime is 40332125081. The next prime is 40332125089. The reversal of 40332125088 is 88052123304.

40332125088 is a `hidden beast` number, since 4 + 0 + 3 + 321 + 250 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×40332125088² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (40332125081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26342883 + ... + 26344413.

It is an arithmetic number, because the mean of its divisors is an integer number (430364844).

Almost surely, 2^40332125088 is an apocalyptic number.

40332125088 is a gapful number since it is divisible by the number (48) 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 40332125088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61972537536).

40332125088 is an abundant number, since it is smaller than the sum of its proper divisors (83612949984).

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

40332125088 is a wasteful number, since it uses less digits than its factorization.

40332125088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1708 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 40332125088 in words is "forty billion, three hundred thirty-two million, one hundred twenty-five thousand, eighty-eight".