4098832657920 has 4800 divisors, whose sum is σ = 20876349542400. Its totient is φ = 760828723200.

The previous prime is 4098832657883. The next prime is 4098832657957. The reversal of 4098832657920 is 297562388904.

4098832657920 is a `hidden beast` number, since 4 + 0 + 9 + 8 + 8 + 32 + 6 + 579 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (4098832657883) and next prime (4098832657957).

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 479 ways as a sum of consecutive naturals, for example, 132220408305 + ... + 132220408335.

It is an arithmetic number, because the mean of its divisors is an integer number (4349239488).

Almost surely, 2^{4098832657920} is an apocalyptic number.

4098832657920 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 4098832657920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10438174771200).

4098832657920 is an abundant number, since it is smaller than the sum of its proper divisors (16777516884480).

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

4098832657920 is a wasteful number, since it uses less digits than its factorization.

4098832657920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 4098832657920 in words is "four trillion, ninety-eight billion, eight hundred thirty-two million, six hundred fifty-seven thousand, nine hundred twenty".