3040633499904 has 2160 divisors, whose sum is σ = 13130268915456. Its totient is φ = 685581926400.

The previous prime is 3040633499863. The next prime is 3040633499927. The reversal of 3040633499904 is 4099943360403.

3040633499904 is a `hidden beast` number, since 3 + 0 + 4 + 0 + 63 + 3 + 499 + 90 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2470050969 + ... + 2470052199.

Almost surely, 2^{3040633499904} is an apocalyptic number.

3040633499904 is a gapful number since it is divisible by the number (34) 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 3040633499904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6565134457728).

3040633499904 is an abundant number, since it is smaller than the sum of its proper divisors (10089635415552).

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

3040633499904 is a wasteful number, since it uses less digits than its factorization.

3040633499904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 54.

The spelling of 3040633499904 in words is "three trillion, forty billion, six hundred thirty-three million, four hundred ninety-nine thousand, nine hundred four".