4055417397696 has 224 divisors, whose sum is σ = 13108076448768. Its totient is φ = 1081280471040.

The previous prime is 4055417397659. The next prime is 4055417397697. The reversal of 4055417397696 is 6967937145504.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×4055417397696² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4055417397697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 332515 + ... + 2867298.

It is an arithmetic number, because the mean of its divisors is an integer number (58518198432).

Almost surely, 2^{4055417397696} is an apocalyptic number.

4055417397696 is a gapful number since it is divisible by the number (46) 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 4055417397696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6554038224384).

4055417397696 is an abundant number, since it is smaller than the sum of its proper divisors (9052659051072).

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

4055417397696 is a wasteful number, since it uses less digits than its factorization.

4055417397696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3199899 (or 3199889 counting only the distinct ones).

The product of its (nonzero) digits is 171460800, while the sum is 66.

The spelling of 4055417397696 in words is "four trillion, fifty-five billion, four hundred seventeen million, three hundred ninety-seven thousand, six hundred ninety-six".