4200798357504 has 1536 divisors, whose sum is σ = 15692092416000. Its totient is φ = 1083999780864.

The previous prime is 4200798357493. The next prime is 4200798357521. The reversal of 4200798357504 is 4057538970024.

It is a happy number.

4200798357504 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 7 + 9 + 83 + 57 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×4200798357504² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13683382119 + ... + 13683382425.

It is an arithmetic number, because the mean of its divisors is an integer number (10216206000).

Almost surely, 2^{4200798357504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4200798357504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7846046208000).

4200798357504 is an abundant number, since it is smaller than the sum of its proper divisors (11491294058496).

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

4200798357504 is a wasteful number, since it uses less digits than its factorization.

4200798357504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 4200798357504 in words is "four trillion, two hundred billion, seven hundred ninety-eight million, three hundred fifty-seven thousand, five hundred four".