4193955411840 has 512 divisors, whose sum is σ = 16555109184000. Its totient is φ = 997199216640.

The previous prime is 4193955411791. The next prime is 4193955411853. The reversal of 4193955411840 is 481145593914.

4193955411840 is a `hidden beast` number, since 4 + 1 + 9 + 3 + 9 + 554 + 1 + 1 + 84 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5205735 + ... + 5957145.

It is an arithmetic number, because the mean of its divisors is an integer number (32334197625).

Almost surely, 2^{4193955411840} is an apocalyptic number.

4193955411840 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 4193955411840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8277554592000).

4193955411840 is an abundant number, since it is smaller than the sum of its proper divisors (12361153772160).

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

4193955411840 is a wasteful number, since it uses less digits than its factorization.

4193955411840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751475 (or 751457 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 4193955411840 in words is "four trillion, one hundred ninety-three billion, nine hundred fifty-five million, four hundred eleven thousand, eight hundred forty".