39934691003040 has 192 divisors, whose sum is σ = 127801586626560. Its totient is φ = 10480198210560.

The previous prime is 39934691003029. The next prime is 39934691003057. The reversal of 39934691003040 is 4030019643993.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9926245 + ... + 13356635.

It is an arithmetic number, because the mean of its divisors is an integer number (665633263680).

Almost surely, 2^{39934691003040} is an apocalyptic number.

39934691003040 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 39934691003040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63900793313280).

39934691003040 is an abundant number, since it is smaller than the sum of its proper divisors (87866895623520).

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

39934691003040 is a wasteful number, since it uses less digits than its factorization.

39934691003040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3430795 (or 3430787 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 51.

The spelling of 39934691003040 in words is "thirty-nine trillion, nine hundred thirty-four billion, six hundred ninety-one million, three thousand, forty".