40198646016 has 81 divisors (see below), whose sum is σ = 115930361001. Its totient is φ = 13396340736.

The previous prime is 40198645973. The next prime is 40198646087. The reversal of 40198646016 is 61064689104.

The square root of 40198646016 is 200496.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 37140998400 + 3057647616 = 192720^2 + 55296^2 .

It is a super-2 number, since 2×40198646016² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9621720 + ... + 9625896.

Almost surely, 2^40198646016 is an apocalyptic number.

40198646016 is the 200496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40198646016

40198646016 is an abundant number, since it is smaller than the sum of its proper divisors (75731714985).

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

40198646016 is an frugal number, since it uses more digits than its factorization.

40198646016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8376 (or 4182 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 40198646016 in words is "forty billion, one hundred ninety-eight million, six hundred forty-six thousand, sixteen".