40694996160 has 1120 divisors, whose sum is σ = 181418130432. Its totient is φ = 8465264640.

The previous prime is 40694996143. The next prime is 40694996161. The reversal of 40694996160 is 6169949604.

40694996160 is a `hidden beast` number, since 406 + 94 + 9 + 96 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 40694996097 and 40694996106.

It is not an unprimeable number, because it can be changed into a prime (40694996161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 573168925 + ... + 573168995.

Almost surely, 2^40694996160 is an apocalyptic number.

40694996160 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 40694996160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90709065216).

40694996160 is an abundant number, since it is smaller than the sum of its proper divisors (140723134272).

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

40694996160 is an frugal number, since it uses more digits than its factorization.

40694996160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 40694996160 in words is "forty billion, six hundred ninety-four million, nine hundred ninety-six thousand, one hundred sixty".