4691009146000 has 40 divisors (see below), whose sum is σ = 11342860119864. Its totient is φ = 1876403657600.

The previous prime is 4691009145997. The next prime is 4691009146003. The reversal of 4691009146000 is 6419001964.

It is an interprime number because it is at equal distance from previous prime (4691009145997) and next prime (4691009146003).

It can be written as a sum of positive squares in 4 ways, for example, as 1391569403904 + 3299439742096 = 1179648^2 + 1816436^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (4691009146003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1172750287 + ... + 1172754286.

Almost surely, 2^{4691009146000} is an apocalyptic number.

4691009146000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4691009146000 is an abundant number, since it is smaller than the sum of its proper divisors (6651850973864).

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

4691009146000 is a wasteful number, since it uses less digits than its factorization.

4691009146000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2345504596 (or 2345504580 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The spelling of 4691009146000 in words is "four trillion, six hundred ninety-one billion, nine million, one hundred forty-six thousand".