30973001940 has 120 divisors (see below), whose sum is σ = 97352601192. Its totient is φ = 8243389440.

The previous prime is 30973001909. The next prime is 30973002013. The reversal of 30973001940 is 4910037903.

30973001940 is a `hidden beast` number, since 309 + 7 + 300 + 1 + 9 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 115863696 + 30857138244 = 10764^2 + 175662^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 30973001895 and 30973001904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 825672 + ... + 862368.

Almost surely, 2^30973001940 is an apocalyptic number.

30973001940 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 30973001940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48676300596).

30973001940 is an abundant number, since it is smaller than the sum of its proper divisors (66379599252).

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

30973001940 is a wasteful number, since it uses less digits than its factorization.

30973001940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37239 (or 37228 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The spelling of 30973001940 in words is "thirty billion, nine hundred seventy-three million, one thousand, nine hundred forty".