39917642436 has 243 divisors, whose sum is σ = 120856793967. Its totient is φ = 11076579360.

The previous prime is 39917642419. The next prime is 39917642467. The reversal of 39917642436 is 63424671993.

It is a happy number.

The square root of 39917642436 is 199794.

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

39917642436 is a `hidden beast` number, since 39 + 9 + 176 + 4 + 2 + 436 = 666.

It is a super-3 number, since 3×39917642436³ (a number of 33 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 562220281 + ... + 562220351.

Almost surely, 2^39917642436 is an apocalyptic number.

39917642436 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

39917642436 is the 199794-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39917642436

39917642436 is an abundant number, since it is smaller than the sum of its proper divisors (80939151531).

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

39917642436 is a wasteful number, since it uses less digits than its factorization.

39917642436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 150 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 54.

The spelling of 39917642436 in words is "thirty-nine billion, nine hundred seventeen million, six hundred forty-two thousand, four hundred thirty-six".