39955148640 has 1008 divisors, whose sum is σ = 164848446000. Its totient is φ = 9114716160.

The previous prime is 39955148633. The next prime is 39955148641. The reversal of 39955148640 is 4684155993.

39955148640 is a `hidden beast` number, since 3 + 9 + 9 + 5 + 514 + 86 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39955148641) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 268155286 + ... + 268155434.

It is an arithmetic number, because the mean of its divisors is an integer number (163540125).

Almost surely, 2^39955148640 is an apocalyptic number.

39955148640 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 39955148640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82424223000).

39955148640 is an abundant number, since it is smaller than the sum of its proper divisors (124893297360).

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

39955148640 is a wasteful number, since it uses less digits than its factorization.

39955148640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 189 counting only the distinct ones).

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

The spelling of 39955148640 in words is "thirty-nine billion, nine hundred fifty-five million, one hundred forty-eight thousand, six hundred forty".