3029424431040 has 672 divisors, whose sum is σ = 12731590609920. Its totient is φ = 645373329408.

The previous prime is 3029424431027. The next prime is 3029424431113. The reversal of 3029424431040 is 401344249203.

3029424431040 is a `hidden beast` number, since 30 + 294 + 24 + 4 + 310 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 = 3029424430986 and 3029424431004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35257251 + ... + 35343069.

It is an arithmetic number, because the mean of its divisors is an integer number (18945819360).

Almost surely, 2^{3029424431040} is an apocalyptic number.

3029424431040 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 3029424431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6365795304960).

3029424431040 is an abundant number, since it is smaller than the sum of its proper divisors (9702166178880).

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

3029424431040 is a wasteful number, since it uses less digits than its factorization.

3029424431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85969 (or 85956 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 3029424431040 in words is "three trillion, twenty-nine billion, four hundred twenty-four million, four hundred thirty-one thousand, forty".