39954358080 has 840 divisors, whose sum is σ = 176018781312. Its totient is φ = 8423460864.

The previous prime is 39954358079. The next prime is 39954358109. The reversal of 39954358080 is 8085345993.

39954358080 is a `hidden beast` number, since 3 + 9 + 9 + 54 + 3 + 580 + 8 + 0 = 666.

39954358080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×39954358080² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 30662709 + ... + 30664011.

Almost surely, 2^39954358080 is an apocalyptic number.

39954358080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39954358080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88009390656).

39954358080 is an abundant number, since it is smaller than the sum of its proper divisors (136064423232).

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

39954358080 is a wasteful number, since it uses less digits than its factorization.

39954358080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 39954358080 in words is "thirty-nine billion, nine hundred fifty-four million, three hundred fifty-eight thousand, eighty".