4238098610400 has 2304 divisors, whose sum is σ = 17458082611200. Its totient is φ = 987614208000.

The previous prime is 4238098610377. The next prime is 4238098610411. The reversal of 4238098610400 is 40168908324.

It is a happy number.

4238098610400 is a `hidden beast` number, since 4 + 23 + 8 + 0 + 9 + 8 + 610 + 4 + 0 + 0 = 666.

4238098610400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4238098610400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 33370855137 + ... + 33370855263.

It is an arithmetic number, because the mean of its divisors is an integer number (7577292800).

Almost surely, 2^{4238098610400} is an apocalyptic number.

4238098610400 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 4238098610400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8729041305600).

4238098610400 is an abundant number, since it is smaller than the sum of its proper divisors (13219984000800).

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

4238098610400 is a wasteful number, since it uses less digits than its factorization.

4238098610400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 4238098610400 in words is "four trillion, two hundred thirty-eight billion, ninety-eight million, six hundred ten thousand, four hundred".