934740392040 has 896 divisors, whose sum is σ = 3912072595200. Its totient is φ = 195641671680.

The previous prime is 934740392023. The next prime is 934740392071. The reversal of 934740392040 is 40293047439.

934740392040 is a `hidden beast` number, since 9 + 34 + 7 + 403 + 9 + 204 + 0 = 666.

It is a super-2 number, since 2×934740392040² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 347615016 + ... + 347617704.

It is an arithmetic number, because the mean of its divisors is an integer number (4366152450).

Almost surely, 2^934740392040 is an apocalyptic number.

934740392040 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 934740392040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1956036297600).

934740392040 is an abundant number, since it is smaller than the sum of its proper divisors (2977332203160).

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

934740392040 is a wasteful number, since it uses less digits than its factorization.

934740392040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2869 (or 2850 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 934740392040 in words is "nine hundred thirty-four billion, seven hundred forty million, three hundred ninety-two thousand, forty".