4198207829760 has 1152 divisors, whose sum is σ = 17541295349760. Its totient is φ = 930719268864.

The previous prime is 4198207829759. The next prime is 4198207829791. The reversal of 4198207829760 is 679287028914.

4198207829760 is a `hidden beast` number, since 419 + 8 + 2 + 0 + 78 + 2 + 97 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 4144331014 + ... + 4144332026.

It is an arithmetic number, because the mean of its divisors is an integer number (15226818880).

Almost surely, 2^{4198207829760} is an apocalyptic number.

4198207829760 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 4198207829760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8770647674880).

4198207829760 is an abundant number, since it is smaller than the sum of its proper divisors (13343087520000).

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

4198207829760 is a wasteful number, since it uses less digits than its factorization.

4198207829760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1550 (or 1530 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 4198207829760 in words is "four trillion, one hundred ninety-eight billion, two hundred seven million, eight hundred twenty-nine thousand, seven hundred sixty".