4121906835456 has 1664 divisors, whose sum is σ = 14776826112000. Its totient is φ = 1124874584064.

The previous prime is 4121906835451. The next prime is 4121906835463. The reversal of 4121906835456 is 6545386091214.

4121906835456 is a `hidden beast` number, since 4 + 1 + 2 + 1 + 90 + 6 + 8 + 3 + 545 + 6 = 666.

4121906835456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4121906835451) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23826050986 + ... + 23826051158.

Almost surely, 2^{4121906835456} is an apocalyptic number.

4121906835456 is a gapful number since it is divisible by the number (46) 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 4121906835456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7388413056000).

4121906835456 is an abundant number, since it is smaller than the sum of its proper divisors (10654919276544).

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

4121906835456 is a wasteful number, since it uses less digits than its factorization.

4121906835456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 4121906835456 in words is "four trillion, one hundred twenty-one billion, nine hundred six million, eight hundred thirty-five thousand, four hundred fifty-six".