30141296640 has 832 divisors, whose sum is σ = 132104448000. Its totient is φ = 6348865536.

The previous prime is 30141296587. The next prime is 30141296651. The reversal of 30141296640 is 4669214103.

30141296640 is a `hidden beast` number, since 3 + 0 + 1 + 4 + 1 + 2 + 9 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

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 = 30141296595 and 30141296604.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50319061 + ... + 50319659.

Almost surely, 2^30141296640 is an apocalyptic number.

30141296640 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 30141296640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66052224000).

30141296640 is an abundant number, since it is smaller than the sum of its proper divisors (101963151360).

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

30141296640 is a wasteful number, since it uses less digits than its factorization.

30141296640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 30141296640 in words is "thirty billion, one hundred forty-one million, two hundred ninety-six thousand, six hundred forty".