4098165926400 has 1920 divisors, whose sum is σ = 18617408409600. Its totient is φ = 859830681600.

The previous prime is 4098165926363. The next prime is 4098165926401. The reversal of 4098165926400 is 46295618904.

4098165926400 is a `hidden beast` number, since 4 + 0 + 9 + 8 + 1 + 6 + 592 + 6 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is not an unprimeable number, because it can be changed into a prime (4098165926401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9780825391 + ... + 9780825809.

It is an arithmetic number, because the mean of its divisors is an integer number (9696566880).

Almost surely, 2^{4098165926400} is an apocalyptic number.

4098165926400 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 4098165926400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9308704204800).

4098165926400 is an abundant number, since it is smaller than the sum of its proper divisors (14519242483200).

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

4098165926400 is a wasteful number, since it uses less digits than its factorization.

4098165926400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 4098165926400 in words is "four trillion, ninety-eight billion, one hundred sixty-five million, nine hundred twenty-six thousand, four hundred".