40161648000 has 128 divisors (see below), whose sum is σ = 133136022240. Its totient is φ = 10709760000.

The previous prime is 40161647971. The next prime is 40161648001. The reversal of 40161648000 is 84616104.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×40161648000² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40161648001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 370351 + ... + 466350.

Almost surely, 2^40161648000 is an apocalyptic number.

40161648000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40161648000 is an abundant number, since it is smaller than the sum of its proper divisors (92974374240).

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

40161648000 is an equidigital number, since it uses as much as digits as its factorization.

40161648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836733 (or 836711 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 40161648000 in words is "forty billion, one hundred sixty-one million, six hundred forty-eight thousand".