55743174431406 has 256 divisors, whose sum is σ = 157472252928000. Its totient is φ = 14195765445120.

The previous prime is 55743174431393. The next prime is 55743174431419. The reversal of 55743174431406 is 60413447134755.

55743174431406 is a `hidden beast` number, since 5 + 5 + 7 + 4 + 317 + 4 + 4 + 314 + 0 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (55743174431393) and next prime (55743174431419).

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 127 ways as a sum of consecutive naturals, for example, 92677270 + ... + 93276806.

It is an arithmetic number, because the mean of its divisors is an integer number (615125988000).

Almost surely, 2^{55743174431406} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55743174431406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78736126464000).

55743174431406 is an abundant number, since it is smaller than the sum of its proper divisors (101729078496594).

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

55743174431406 is a wasteful number, since it uses less digits than its factorization.

55743174431406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600004 (or 599998 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 54.

The spelling of 55743174431406 in words is "fifty-five trillion, seven hundred forty-three billion, one hundred seventy-four million, four hundred thirty-one thousand, four hundred six".