30772145040 has 960 divisors, whose sum is σ = 127063867392. Its totient is φ = 6096384000.

The previous prime is 30772145023. The next prime is 30772145059. The reversal of 30772145040 is 4054127703.

It is a super-3 number, since 3×30772145040³ (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30772144992 and 30772145010.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 203788965 + ... + 203789115.

Almost surely, 2^30772145040 is an apocalyptic number.

30772145040 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 30772145040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63531933696).

30772145040 is an abundant number, since it is smaller than the sum of its proper divisors (96291722352).

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

30772145040 is a wasteful number, since it uses less digits than its factorization.

30772145040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The spelling of 30772145040 in words is "thirty billion, seven hundred seventy-two million, one hundred forty-five thousand, forty".