39990400576 has 63 divisors (see below), whose sum is σ = 92337882507. Its totient is φ = 17133943680.

The previous prime is 39990400559. The next prime is 39990400577. The reversal of 39990400576 is 67500409993.

The square root of 39990400576 is 199976.

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

It is a super-2 number, since 2×39990400576² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (39990400577) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11196871 + ... + 11200441.

Almost surely, 2^39990400576 is an apocalyptic number.

39990400576 is the 199976-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39990400576

39990400576 is an abundant number, since it is smaller than the sum of its proper divisors (52347481931).

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

39990400576 is an frugal number, since it uses more digits than its factorization.

39990400576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7168 (or 3580 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 52.

The spelling of 39990400576 in words is "thirty-nine billion, nine hundred ninety million, four hundred thousand, five hundred seventy-six".