40667160240 has 320 divisors, whose sum is σ = 160626385920. Its totient is φ = 9264015360.

The previous prime is 40667160239. The next prime is 40667160253. The reversal of 40667160240 is 4206176604.

40667160240 is a `hidden beast` number, since 4 + 0 + 6 + 6 + 7 + 1 + 602 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 40667160195 and 40667160204.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4637460 + ... + 4646220.

It is an arithmetic number, because the mean of its divisors is an integer number (501957456).

Almost surely, 2^40667160240 is an apocalyptic number.

40667160240 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 40667160240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80313192960).

40667160240 is an abundant number, since it is smaller than the sum of its proper divisors (119959225680).

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

40667160240 is a wasteful number, since it uses less digits than its factorization.

40667160240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9097 (or 9085 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 40667160240 in words is "forty billion, six hundred sixty-seven million, one hundred sixty thousand, two hundred forty".