939930268401000 has 512 divisors, whose sum is σ = 3290435516160000. Its totient is φ = 248190005145600.

The previous prime is 939930268400989. The next prime is 939930268401001. The reversal of 939930268401000 is 104862039939.

939930268401000 is a `hidden beast` number, since 93 + 9 + 93 + 0 + 2 + 68 + 401 + 0 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (939930268401001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3169840746 + ... + 3170137254.

It is an arithmetic number, because the mean of its divisors is an integer number (6426631867500).

Almost surely, 2^{939930268401000} is an apocalyptic number.

939930268401000 is a gapful number since it is divisible by the number (90) 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 939930268401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645217758080000).

939930268401000 is an abundant number, since it is smaller than the sum of its proper divisors (2350505247759000).

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

939930268401000 is a wasteful number, since it uses less digits than its factorization.

939930268401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297691 (or 297671 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 939930268401000 in words is "nine hundred thirty-nine trillion, nine hundred thirty billion, two hundred sixty-eight million, four hundred one thousand".