4121034926400 has 2520 divisors, whose sum is σ = 19003097741760. Its totient is φ = 870168821760.

The previous prime is 4121034926369. The next prime is 4121034926419. The reversal of 4121034926400 is 46294301214.

4121034926400 is a `hidden beast` number, since 4 + 1 + 2 + 1 + 0 + 3 + 4 + 9 + 2 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 6369450877 + ... + 6369451523.

Almost surely, 2^{4121034926400} is an apocalyptic number.

4121034926400 is a gapful number since it is divisible by the number (40) 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 4121034926400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9501548870880).

4121034926400 is an abundant number, since it is smaller than the sum of its proper divisors (14882062815360).

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

4121034926400 is a wasteful number, since it uses less digits than its factorization.

4121034926400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 4121034926400 in words is "four trillion, one hundred twenty-one billion, thirty-four million, nine hundred twenty-six thousand, four hundred".