40675209120 has 1728 divisors, whose sum is σ = 196745552640. Its totient is φ = 7405240320.

The previous prime is 40675209109. The next prime is 40675209199. The reversal of 40675209120 is 2190257604.

40675209120 is a `hidden beast` number, since 4 + 0 + 6 + 7 + 520 + 9 + 120 = 666.

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

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 1312103505 + ... + 1312103535.

It is an arithmetic number, because the mean of its divisors is an integer number (113857380).

Almost surely, 2^40675209120 is an apocalyptic number.

40675209120 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 40675209120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98372776320).

40675209120 is an abundant number, since it is smaller than the sum of its proper divisors (156070343520).

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

40675209120 is a wasteful number, since it uses less digits than its factorization.

40675209120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 40675209120 in words is "forty billion, six hundred seventy-five million, two hundred nine thousand, one hundred twenty".