39955384909440 has 4608 divisors, whose sum is σ = 197200368288000. Its totient is φ = 7572057292800.

The previous prime is 39955384909423. The next prime is 39955384909481. The reversal of 39955384909440 is 4490948355993.

39955384909440 is a `hidden beast` number, since 3 + 9 + 9 + 5 + 5 + 3 + 8 + 490 + 94 + 40 = 666.

It is a super-2 number, since 2×39955384909440² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 174477663246 + ... + 174477663474.

Almost surely, 2^{39955384909440} is an apocalyptic number.

39955384909440 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 39955384909440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98600184144000).

39955384909440 is an abundant number, since it is smaller than the sum of its proper divisors (157244983378560).

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

39955384909440 is a wasteful number, since it uses less digits than its factorization.

39955384909440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 755827200, while the sum is 72.

The spelling of 39955384909440 in words is "thirty-nine trillion, nine hundred fifty-five billion, three hundred eighty-four million, nine hundred nine thousand, four hundred forty".